Mathematics High School

PLEASE HELP ASAP
Which function has an inverse that is a function

Answers

Answer 1

Answer:

Options (1) and (3)

Step-by-step explanation:

Option (1)

f(x) = x²+ 3

We can rewrite the function in the equation form as,

y = x² + 3

By interchanging y by x,

x = y² + 3

Now we solve it for y,

y² = x - 3

y = ±√(x - 3)

So the inverse function is,

[tex]f^{-1}(x)=\pm \sqrt{x-3}[/tex]

It's a function.

Option 2

d(x) = -9

Equation form of the function is,

y = -9

Replacing y by x,

x = - 9

Therefore, inverse function will be,

x = -9

Inverse is not a function

Option 3

m(x) = -7x

Equation form of the function,

y = -7x

Interchanging y by x,

x = -7y

Now solve for x,

y = [tex]-\frac{1}{7}x[/tex]

So the inverse function will be,

[tex]m^{-1}(x)=-\frac{1}{7}x[/tex]

Inverse is a function.

Option 4

p(x) = |x|

As this function not a one to one function inverse function is not possible.

Inverse of |x| is not a function.

Related Questions

HELP ME PLEASEE I NEED HELP IN THIS

Answers

Answer:

i think the first one is the 5 picture and the 2 one is the 4 picture and the 3 one is the

Step-by-step explanation:

Which set or sub set does \large \frac{24}{8} belong?

a
Integers only
b
Rational numbers only
c
Integers and Rational numbers only
d
Whole numbers, Integers, and Rational numbers

Answers

Answer:

rational numbers

Step-by-step explanation:

The point A(-6, 0) is reflected over the y-axis. What are the coordinates of the resulting point, A′?

Answers

Answer:

(6, 0)

Step-by-step explanation:

what conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0

Answers

Answer:

x=-3

Step-by-step explanation:

If x=-3, then

x³+x²-2x+12=-27+9+6+12=-27+27=0

If this is true, then x+3 is a factor. So:

x³+x²-2x+12/x+3=x²-2x+4

So the factors of x³+x²-2x+12 are:

(x+3)(x²-2x+4)

((x²-2x+4) has no real roots)........

here is a semicircle of radius x.

Answers

Answer:

a) C

3.142x + 2x = 25.71

5.142x = 25.71

x = 5

Step-by-step explanation:

Expression for Semicircle perimeter: xπ + 2x. (C)

Therefore x(π + 2) = 25.71 and x = 25.71 / (π + 2) = 5.

How do you do this?
Please help x

Answers

Answer:

Step-by-step explanation:

a). Given equation is y = 3x - 4

Table for the input-output values is,

x -1 0 1 2 3

y -7 -4 -1 2 5

Now we can plot these points on the graph (graph attached).

b). Equation is y = -2x + 3

Table for the input-output values will be,

x -1 0 1 2 3

y 5 3 1 -1 -3

Evaluate the following expression:
3 + 2(4 + 7)

Answers

Answer:

Step-by-step explanation:

Let's simplify this, while still doing it.

3 + 2(4 + 7)

3 + 2(11)

3 + 22

25.

the answer is 25!!

Answer:

The answer is 25

2(4+7)

8+14 + 3 = 25

Step-by-step explanation:

Find the mode for the scores 3,850 5,300 8,550, 4.300: 5,350

Answers

Answer:

No Mode

Step-by-step explanation:

The mode is the answer that occurs most in a set of numbers, but there are no repetitive numbers in your set, so the answer is no mode.

Daniel is organizing his rock collection of 18 rocks into equal groups. How many possible ways can Daniel line up his rock collection? 2 possible ways
3 possible ways
5 possible ways
6 possible way

Answers

Answer:

6 possible ways

Step-by-step explanation:

18 divided by 6=3

This means each line will get 3 rocks

Will give branliest
Given f(x)=7x+12 and Domain={3,6,9} find Range
{21,42,63}
{9,6,3}
{33,54,75}
{19,26,33}

Answers

Answer:

the answer is the 3rd option

range = { 33, 54, 75 }

dont mind the dots already on the graph I was just trying to guess

Answers

Step-by-step explanation:

i wanna know too tho......

Mr. Holmes has been getting his Master's in Education from Dowling College and has just heard the news: due to low enrollment, Dowling College will be closing! Because of this, there will be a sale at the campus bookstore and everything is 30% off. If he buys a hat with an original price of $25.00, he believes that the price will be $7.50. When he gets to the register however, the cashier tells Mr. Holmes that he owes $17.50. Who do you think is correct, Mr. Holmes or the cashier?

Answers

Answer:

cashier

Step-by-step explanation:

the discount is $7.50

Please help plezzzzzzzzz

Answers

Answer:

1,6,8

Step-by-step explanation:

Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.

4x+3y≥12

Answers

Answer:

Step-by-step explanation:

The strategy to determine the boundary line is that we need to remove the inequality sign and replace it with and equal to sign and then sketch the equation of the function which is

[tex]4x+3y=12[/tex]

to sketch the function we need the function's x-intercept which means the graphs crosses the x-axis at that specific point (x , 0) and y-intercept which means the graph crosses the y-axis at that specific point (0 , y).

Since both these points lie on line we can substitute it into the equation to find the x-y intercepts and hence sketch the line so here goes.

For x-intercept:

[tex]4x+3y=12\\4(x)+3(0)=12\\4x=12\\x=12/4\\x=3[/tex]

so the x-intercept is (3 , 0)

For y-intercept:

[tex]4x+3y=12\\4(0)+3(y)=12\\3y=12\\y=12/3\\y=4[/tex]

so the y-intercept is (0 , 4)

now we sketch these 2 points and draw a straight line joining both the points as shown in the image below.

A, B, C, or D? Due at midnight!! Thank you

Answers

Answer:

the last one 3.7, 3 3/4, 31/8, 3.89

Step-by-step explanation:

3.7=3.7

3 3/4= 3.75

31/8=3.875

3.89=3.89

Please answer ASAP!

How many different arrangements of the letters of the word SCIENCE
have N as their first letter and S as their last?

Answers

Ignore this post, I have no Idea what it is, report this so it gets taken down so someone else can answer...

What are the coordinates for E?

Answers

Answer:

(-6,0)

Step-by-step explanation:

It's on the x-axis which would be -6 and yet it's at the 0 of the y-axis.

Answer:

(-6,0)

Step-by-step explanation:

due its on left side

PLS HELP WILL GIVE BRANLIEST

Answers

Answer:

Step-by-step explanation:

Answer: the answer is B: (3,9)

Step-by-step explanation:

The price p of pizza is $7.25 plus $0.70 for each t topping on the pizza write a function rule that represents the situation

Answers

The answer is

p=7.25+0.70t

14.
A right triangle has an area of
24. If the height of a simillar
triangle is double that of the
original triangle, how much
larger is the area of the
second triangle than the first?
HELP!

Answers

Answer:

u should times 24 by 24 which will make 576

Step-by-step explanation:

The ratio of the number of cars to dolls in a toy store is 3/20 . The ratio of the number of male dolls to the number of female dolls is 3:5 There are 500 female dolls. How many toys are there?

Answers

Answer:

800 dolls

Step-by-step explanation:

Step one:

given data

we are told that the ratio of the number of male dolls to the number of female dolls is 3:5 , i.e male dolls to female dolls is 3 to 5

given that there are 500 female dolls, let the number of male dolls be x

Step two:

3/5= x/500

cross multiply we have

3*500=5x

1500=5x

divide both sides by 5

x=1500/5

x=300

hence there are 300 male dolls

The total dolls is 300+500= 800 dolls

Simplify.

−6x+8/6−3/2x−1/2+5/2x

Answers

Answer:

Okay!

Step-by-step explanation:

5 (6x - 1)

-- -------------

-5x + 5/6

-6x + 8/6 - 3/2x - 1/2 + 5/2x =

-12/2x + 8/6 - 3/2x - 3/6 + 5/2x =

-5x + 5/6

Orlando is simplifying the expression 29 + (–42).

How can you rewrite this problem as a subtraction problem?

Answers

Answer:

29-42

Step-by-step explanation:

Since the expression contains a negative number, it can be rewritten as 29-42.

You want to buy some rice. An 8-ounce package costs $2.88. A 12-ounce package costs $4.56. A 26-ounce package costs $9.10. Which package is the best buy?

Answers

Divide cost by ounces. The lowest cost per ounce is the better buy.

2.88/8 = 0.36

4.56/12 = 0.38

9.10/26 = 0.35

The 26 ounce package is the better buy.

Answer:

The 26-ounce package is the best buy

Reasoning:

In order to figure out the best buy, you have to see the price-per-ounce in each option and figure out the one that costs the least. The way to do this is by dividing the decimal in the pricing by the number of ounces in the package. For example, 2.88/8 = 0.36

This tells us that the price-per-ounce in the 8-ounce package is 0.36

Repeat this process for each of the other two packages to find that

4.56/12 = 0.38 and 9.10/26 = 0.35

with this information, we can conclusively say that the 26-ounce package is the best buy, as it has the lowest price-per-ounce of all three of the packages.

shift the graph of y=x down 2 units

Answers

Answer:

shown in drawing attached

y=x-2

Step-by-step explanation:

Shift each point down by two. First plot y=x, then shift down by 2 for each point.

please give thanks :)

You have to subtract 2 from the y-coordinate to shift the graph of y = x down to 2 units.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

To shift the graph of y = x down 2 units, you can subtract 2 from the y-coordinate of each point on the graph.

This will be done by replacing y with y-2 in the equation, so the new equation would be y = x + (-2) which is y = x - 2

So the new equation for the graph will be y = x - 2

This will cause the graph to move down 2 units along the y-axis.

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ2

The ratio of scrambled eggs to hard-boiled eggs served at a restaurant is 6: 2. Find the number of hard-boiled eggs when the restaurant serves 15 scrambled eggs.

Answers

Answer:

Its 15/2 but something is probably wrong with the question.

Step-by-step explanation:

h is hard boiled eggs. s is scrambled eggs. s/h=6

15/h=6

15=6h

h=15/6=5/2 Something is probably wrong with the question because who would serve 1/2 of a egg.

help me please i will give brainliest

Answers

Answer:

The forth box for c will be 22

Step-by-step explanation:

If c = 10 , b = 5

If c = 14 , b = 7

If c = 18 , b = 9

If c = 22 , b = 11

If c = 26 , b = 13

Answer:

Step-by-step explanation:

y – 11 = 3(x – 2)
in standard form

Answers

Answer:

3x + y = -5

General Formulas and Concepts:

Pre-Algebra

Distributive PropertyEquality Properties

Algebra I

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

[PS] y - 11 = 3(x - 2)

Step 2: Rewrite

Find Standard Form

Distribute 3: y - 11 = 3x - 6Subtract 3x on both sides: -3x - y - 11 = -6Add 11 to both sides: -3x - y = 5Factor -1: -1(3x + y) = 5Divide -1 on both sides: 3x + y = -5

The Ratio of the length of Sam's rope is to that of his friend Ryan's rope is 2 : 7. If Ryan's rope is 42 inches long, how long is Sam's rope ?

Answers

Step-by-step explanation:

Sam's rope = 42 inches * (2/7) = 12 inches.

There are 2 pies on the shelf. Each shelf is cut into eighths. How many pieces of pie are there?

Answers

Answer:

Step-by-step explanation:

each pie is cut into eighths meaning each pie is cut into 8 pieces now you have two pies in 8 pieces that looks like this 8+8=16 :]

Other Questions

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PLEASE HELP ASAP Which function has an inverse that is a function￼

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PLEASE HELP ASAP
Which function has an inverse that is a function