PLEASE HELP!
Verify that f and g are inverses functions using composition , show your steps
Answers
Answer: We can conclude that f(x) and g(x) are not inverses.
Step-by-step explanation:
If we have two functions:
f(x) and g(x)
These functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
In this case, we have:
f(x) = 12*x - 12
g(x) = (1/12)*x - 1
Now we need to check the compositions:
f( g(x) ) = 12*g(x) - 12 = 12*( (1/12)*x - 1) - 12 = (x - 12) - 12 = x - 24
and:
g( f(x)) = (1/12)*f(x) - 1 = (1/12)*(12*x - 12) - 1 = 12*x/12 - 12/12 - 1 = x - 1 - 1 = x - 2
In both cases, we can see that:
f( g(x) ) ≠ x
and:
g( f(x) ) ≠ x
Then we can conclude that f(x) and g(x) are not inverses functions.
Related Questions
(06.01)
The graph shown is a scatter plot:
A scatterplot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point S has coordinates 1.68 and 67. Point T has coordinates 0.7, 6.8. Point U has coordinates 4.12, 38.2. Point V has coordinates 8.04, 77.6. Additional points are located at 1 and 20, 2.2 and 25, and 5.8 and 59.
Which point on the scatter plot is an outlier? (
Answers
Answer:
Point S
Step-by-step explanation:
It is much distance from the others, the rest are closer to the dots
Answer:
Point S is right
Step-by-step explanation:
I got it right for (08.04A) in FLVS
Heres everything in order,
1. Four graphs are shown below:
Which graph represents a positive linear association between x and y?
Answer. Graph B
2. The graph shown below is a scatter plot:
Which point on the scatter plot is an outlier?
Answer. Point S
3. A scatter plot is shown below:
What type of association does the graph show between x and y?
Answer. Linear negative association or Nonlinear negative association( I dont recall which one it is, im sry)
4.The tables below show four sets of data:
Anwser. Set B
5. The scatter plot below shows the high temperature for one day and the number of coats in the theater coat check on that same day:
What will most likely be the effect on the number of coats in the coat check if the temperature decreases?
Answer. Number of coats in the coat check will increase because the graph shows negative association
the following table of values is linear or non-linear
Answers
helpppppppp i'm literally starting to think i need a tutor
Answers
Answer:
x = 55
Step-by-step explanation:
Here, we want to get the value of x
From the diagram , we can see that we have a right- triangle
and thus,
x + 35 = 90
x = 90-35
x = 55
what is 3 times 4 equal?
Answers
explanation: you are adding 3 to itself 4 times
you could think of it like 3+3+3+3
Find the area of the shape below?
Answers
Answer:
8,910
Step-by-step explanation:
i just multiplied all the sides
and i got 8,910
Answer:
105 cm²
Step-by-step explanation:
The shape is composed of a rectangle and a triangle on the right side
area of rectangle = 15 × 6 = 90 cm²
The triangle has dimensions , base = (15 - 9) = 6 cm and height = (11 - 6) = 5 cm
area of triangle = [tex]\frac{1}{2}[/tex] × 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
The Grand Old Duke of York had 10 000 men. He lost 10% of them on way to the top of
the hill, and he lost 15% of the rest as he marched them back down the hill.
What percentage of the 10 000 men were still there when they reached the bottom of
the hill?
Answers
Answer:
76.5%
Step-by-step explanation:
He lost 10% of them on way to the top of the hill
10% of 10,000 men
= 0.1 * 10,000
= 1,000 men
Remaining men = 10,000 - 1,000
= 9,000 men
15% of the rest as he marched them back down the hill.
15% of 9,000 men
= 0.15 × 9000
= 1,350 men
Total men remaining = 9000 - 1,350
= 7,650 men
% remaining =
x% of 10000 men = 7,650
x/100 * 10,000 = 7,650
Cross product
10,000x =7,650 * 100
10,000x = 765,000
x = 765,000/10,000
= 76.5%
x = 76.5%
What is the quotient? -4/5÷2. A -1 3/5 B -2/5 C 1/2 D 1 3/5
Answers
Find CD if AE=8, ED=4, and BE=6.
Answers
Answer:
The ratio of the two triangles is 8:12.
So BE:CD=2:3
6/CD=2/3
2CD=18
CD=9
Step-by-step explanation:
3y+3=39 urgenttt pleaseee fasttt helppp
Answers
3y=39-3
3y=36
y=12
Fifteen more than twice a number is -23.
Answers
Answer:
-19
Step-by-step explanation:
2x+15=-23
2x=-23-15
2x=-38
x=-19
Okay pls help and as always don't answer if you don't know and if you want points then tell me in the COMMENTS and I'll be happy to make a thing just for u!!!♥️ Thanks luv u!!
It would be nice if you did all of them thanks:(
Answers
Answer:
The answer would be 3 m.
Step-by-step explanation:
Answer:
1. A, 3 m
2. B, 60 cm^2
3. C, 31.8 ft
4. D, A = 34.96 cm^2 ,P = 26.6 cm
5. C, 9 f
Sorry if anythings wrong it's been awhile since I did this.
The soccer club has planned a trip to a tournament. The cost of the van is
$231. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $4.50. How many soccer club
members are going to the tournament?
O A. -14, 11
B. 11
C. -14
D. 14
Answers
Answer:
d
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the area of the squares? The problems are in the picture below. 15 points!!!
Answers
Answer:
Top Left= 40yd²
Top Right= 441yd²
Bottom Left= 21ft²
Bottom Right= 105ft²
Step-by-step explanation:
Top left- 10×4= 40
Top right- 21×21= 441
Bottom right- 7×3= 21
Bottom left- 15×7=105
Andrew is starting his own snow plowing business. Andrew has calculated that he needs to earn $500 per week to support his family. If he knows he will only be able to work 50 hours per week, what is the minimum amount of dollars per hour that he will need to charge his customers?
Answers
Answer:Ten dollars per hour
Step-by-step explanation:
50 hour =500 dollars
1 hour = ?
Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.
?=(1 hour×500 dollars)/50 hour
?= 500 dollars/50
?=10 dollars per hour
Answer:
$10
Step-by-step explanation:
$500/50= 10
He needs to earn $10 an hour x the 50 hours = $500
]Daniel has 4 paintbrushes. Miguel has 6 times as many paintbrushes.
Drag packs of paintbrushes to the box to show the number of paintbrushes that Miguel has.
Answers
Answer:
he as 10 paintbrishes in hes box
PLEASEEEEEEEEEEEE HELPPPPPO
Answers
Answer:
C
Step-by-step explanation:
Answer:
The change in degrees fahernheit for every change in degrees celsius
Step-by-step explanation:
This is because it demonstrates the change of temperature in degrees fahrenheit for a change in degrees celsius. E.g - when the temperature in degrees celsius is 1 then in fahrenheit it becomes 34.
HOPE THIS HELPED
One month Sam rented 3 movies and 8 video games for a total of $55 . The next month he rented 5 movies and 2 video games for a total of $18 . Find the rental cost for each movie and each video game.
Answers
Answer:
Step-by-step explanation:
You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.
The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:
3M + 8V = 55
The second month: 5 movies, 2 video games, $18. Translated:
5M + 2V = 18
Solve that system of equations
Students at Garcia Middle School took a survey about their favorite school.The results showed that 182 students rated pizza as their favorite food. This number represented 68% of the number of students who took the survey.What was the total number of students that took the survey?
Answers
Answer:
267.64 students
Step-by-step explanation:
Let the total number of students that took the survey be represented as x
This number represented 68% of the number of students who took the survey.
The results showed that 182 students rated pizza as their favorite food.
Therefore:
68% × x = 182 Students
68/100 × x = 182
68x/100 = 182
Cross Multiply
68x = 182 × 100
x = 182 × 100/68
x= 267.64705882 students
Therefore, the total number of students that took the survey is Approximately 267. 64 students
A hula hoop measures 14 inches from the center to the outside. What is the distance around the hula hoop?
A. 21.98 in
B. 175.84 in
C. 43.96 in
D. 87.92 in
Answers
Answer: D. 87.92 in
Step-by-step explanation:
The hula hoop is a circular shape so assume that this is a circle.
The 14 inches that it measure from the center to the outside is therefore the radius.
The distance around the hula hoop being looked for is the circumference.
Circumference of a circle = 2 × π × radius
= 2 * 22/7 * 14
= 88 inches
Closest answer in options is D. 87.92 inches.
An international company has 23,200 employees in one country. If this represents 26.7% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.
Answers
Answer:
Total number of employees = 86,891 employees
Step-by-step explanation:
Let
x = total number of employees
26.7% of x = 23,200
26.7/100 * x = 23,200
0.267 * x = 23,200
0.267x = 23,200
x = 23,200/0.267
x = 86,891.385767790
approximately 86,891 employees
Total number of employees = 86,891 employees
A table decreased in price by . After the reduction it was priced at £13. What was the original
price of the table?
Answers
Answer: 19 or 20 $
Step-by-step explanation:
6x7
88x10
11x44
34x23
78x39
Answers
Answer:
does it matter?
Step-by-step explanation:
x less than or equal to negative 7
Answers
Answer:
-11
Step-by-step explanation:
helpp please 6a-11=13
Answers
Answer:
A=18 because 6+18 (was 6+a) is 24 - 11 = 13
Step-by-step explanation:
A=18
Answer:
a = 4
Step-by-step explanation:
add 11 on the = side 11+13 = 24
now you're left with: 6a=24
divide 6÷24
a= 4
2x≥12
I can't figure this out
Answers
Answer:
[tex]x \geq 6[/tex]
Step-by-step explanation:
You can start by dividing both sides by 2, getting [tex]x \geq 6[/tex].
Answer:
:(
Step-by-step explanation:
P and Q form a linear pair if m P=(7x-4) and m Q =(2x-5) find the measure of each angle
Answers
Answer:
Answer:
Angle P = 143º
Angle Q = 37º
Step-by-step explanation:
Linear pair means the angles add up to 180º
So, using this, set up the equation: 7x - 4 + 2x - 5 = 180
Combine Like Terms
9x - 9 = 180
Add on both sides
9x = 189
Divide
189/9 = 21
Substitute 21 for x
Angle P: 7(21) - 4
Angle Q: 2(21) - 5
Step-by-step explanation:
Perform the operation
(10x² – x + 1) – (9x – 2)
Help ASAP please
Answers
Answer:
10x^2-10x+3
Step-by-step explanation:
If this helped you please rate this comment, give it a like, and maybe mark it as branliest!
Pls Help I hate math
Answers
Answer:
b
Step-by-step explanation:
to find the volume of the figure you have to multiply the with times the length times the height
2x12x9=216
Edgar is playing a game where he draws three cards and finds the sum of
the values shown. If the sum is greater than 10, Edgar wins. Determine if
the sum of his cards shown below is greater or less than 10?
Answers
Answer:
The answer is greater than 10.
Step-by-step explanation:
anyone wanna help a failing student
Answers
Answer:
the answer is D brainliest please
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Brenda's bottles = B
Cindy's bottles = C
Brenda's bottles is twice Cindy's bottles and 5 more
B = 2C + 5
Therefore, D