The inverse function of g(x) is:
[tex]f(x) = -\frac{3}{x + 4}[/tex]
So the correct option is D.
How to get the inverse of g(x)?
Here we have the function:
[tex]g(x) = -\frac{3}{x} - 4[/tex]
Remember that two functions f(x) and g(x) are inverses if:
[tex]f(g(x)) = x\\g(f(x)) = x[/tex]
Then we must have:
[tex]g(f(x)) = -\frac{3}{f(x)} - 4 = x[/tex]
Solving for f(x), we get:
[tex]-\frac{3}{f(x)} - 4 = x\\\\ \frac{3}{f(x)} +4 = -x[/tex]
[tex]\frac{3}{f(x)} = -x - 4\\\\3 = (-x - 4)*f(x)\\\\\frac{3}{-x - 4} = f(x) = -\frac{3}{x + 4}[/tex]
Then the correct option is D.
If you want to learn more about inverse functions:
https://brainly.com/question/14391067
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Students in a class were asked to name their favorite type of soup. The results are shown in the circle graph. How many times more students prefer tomato soup than prefer French onion soup? French onion=0.06% Tomato=33%
Answer:
5.5 times
Step-by-step explanation:
0.33/0.06=5.5
A specialty shop procures silver necklaces for 15$ a piece and offers them to customers for 33$ each. What is the mark-up percentage?
Answer:
54.5%
Step-by-step explanation:
Given data
Cost price= $15
Selling price= $33
Mark up percent =????
%markup= selling-cost/selling*100
substitute
%markup= 33-15/33*100
%markup= 18/33*100
%markup=0.545*100
%markup= 54.5%
Hence the Percent markup is 54.5%
Help me please!!!!!!!!!!!!
juanyra,hannah,and bella went out for pizza.juanyra ate 1/3 of the pizza,hannah ate 2/6 of the pizza,and bella ate 1/4 of the pizza.how much did they eat toghether.
Answer:
1 - (1/4 + 2/3)
1 - (3/12 + 8/12)
1 - 11/12
1/12 left
Please help with ALEKS >-< ..................................
Answer:
4.5
Step-by-step explanation:
From the file, we see that;
Horizontal distance from bottom of ladder to side of house = 2
Length of ladder leaning against side of the house = 4 m.
Now we want to find the distance from the top of the ladder to the ground which we can call d.
Thus we can find it from pythagoras theorem.
d = √(2² + 4²)
d = √(4 + 16)
d = √20
d = 4.47
To the nearest tenth gives;
d = 4.5
A store wants employees to start wearing uniforms to work. The plans to purchase the uniforms and hand out 5 uniforms to every employee one for each day or the week. Uniforms come in packs of 8, and the store plans to purchase 56 packs of uniforms. How many employees can the store give uniforms to?
Answer:
89 employees
Step-by-step explanation:
Uniforms come in packs of 8, and the store plans to purchase 56 packs of uniforms.
This means
1 pack = 8 uniforms
56 packs = x uniforms
Cross Multiply
x = 56 × 8 uniforms
x = 448 uniforms
The plan is to hand out 5 uniforms to every employee one for each day or the week.
Hence, the number of employees that the store can give can uniforms to is calculated as:
5 uniforms = 1 employee
448 uniforms = x employees
Cross Multiply
5x = 448 × 1 employee
x = 448/5
x = 89.6 employees.
Since a person cannot be represented by decimal, the store can give uniforms to 89 employees
Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?
Answer:
g5654
Step-by-step explanation:
Please help urgent !!
A or D. not sure 'bout it. sorry.
Answer:
b. [tex] {x}^{4} \:varies \: directly \: as \: y[/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{4} }{y} = 7 \\ \\ \implies {x}^{4} = 7y \\ \\ \implies {x}^{4} \: \alpha \: y \\ {x}^{4} \:varies \: directly \: as \: y[/tex]
PLEASE HELP ONLY IF YOUR FOR SURE!! <3 What is the value of x in the figure?
Enter your answer in the box.
x =
Answer:
68. We just subtract 22 from 90
252.8 x 63.4 please I need help
Answer:
16027.52
Step-by-step explanation:
I need help asap!! This is an i-ready lesson.
Answer:
.........jdjdjdndjxbxbbxx
Answer: A because it keep going none stopping
Step-by-step explanation:
4х2 - 3x + 2,
How many terms are there
Answer:
3
Step-by-step explanation:
We are given an expression and are asked how many terms are there.
When it comes to terms, we need to see how many numbers have different endings, this can be variables, symbols, and exponents.
Looking into it, we see 4x^2 - 3x + 2
These are all different terms, therefore there are 3 different terms.
what’s the slope of the line? i’m marking a brainliest!
Answer:
m = -2
Step-by-step explanation:
To get the slope of the line, we are going to use the 2-points slope equation form
That will be;
m = (y2-y1)/(x2-x1)
(x1,y1) = (-5,11)
(x2,y2) = (8,-15)
m = (-15-11)/(8-(-5)) = -26/13 = -2
The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;
m = (x2-x1)/(y2-y1)
It is an error of switching the numerator for the denominator
Which pair of numbers has a sum of 100?
( A) 39,61
(B) 49,61
(C) 59, 51
(D) 39,51
Answer:
a
Step-by-step explanation:
39+61 is the only pair that make 100.
In UVW, u = 190 cm, v = 380 cm and w=560 cm. Find the measure of ZW to the
nearest 10th of a degree
Answer:
157.2
Step-by-step explanation:
Delta math
Answer: 157.2 degrees
Step-by-step explanation: Use law of cosines
PLEASE HELP ANSWERS ONLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. 13n+15
2. 12n+18
3. 18n+12
Find the area of a circle with a radius of 33 millimeters use 3.14 for pi also please explain steps if you can it really helps me
Answer:
3421.19
Step-by-step explanation:
A=πr2=π·332≈3421.1944
Answer:
3419.46
Step-by-step explanation:
To find the area of a circle you need to:
pi(3.14) x Radius²
= 3.14 x 33²
= 3419.46
I hope it is right since I literally started this topic.
Nathan launches a water balloon vertically from a platform on his roof. The height of the balloon (in feet) is represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds) after he launches the water balloon. What is the maximum height of the balloon?
Answer:
45.27feet
Step-by-step explanation:
Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)
Note that the velocity of the balloon at maximum height is zero, hence;
v = dh/dt =0
-32t+28.7 = 0
-32t = -28.7
t = 28.7/32
t = 0.897secs
Get the maximum height
Recall that h=−16t²+28.7t+32.4
h = -16(0.897)²+28.7(0.897)+32.4
h= -12.87+25.74+32.4
h = 45.27feet
Hence the maximum height reached is 45.27feet
PLEASE HELP!!! I need an urgent answer and I'll give brainiest just please answer this easy question!
do like show in pic
hope it helps you
What is the solution to the inequality?
n - 15 > -5
pls help ♀️
Step-by-step explanation:
Given inequality
n - 15 > - 5
The inequality can also be written as :
n - 15 = - 5
n = - 5 + 15
n = 10
or
n > 10
Hope it will help :)
Answer:
n>10
Step-by-step explanation:
n-15>-5
n>-5+15
n>10
Hue is arranging chairs. She can form 2 rows of a given length with 4 chairs left over, or 9 rows of that
same length if she gets 10 more chairs. Complete the equation and solve it to find how many chairs are in
that row length. In your equation, use the variable x to represent the number of chairs in each row.
The equation is
There are
chairs in each row.
Answer:
9x-10= 2x+4
x=2
Step-by-step explanation:
solve for x in : 5^{2x-1} =12^{x}
Answer:
x=2.192785
Step-by-step explanation:
52x−1=12x
log(52x−1)=log(12x)
(2x−1)*(log(5))=x*(log(12))
2x−1=(
log(12)
log(5)
)*(x)
2x−1=1.543959*x
2x−1=1.543959x
2x−1−1.543959x=1.543959x−1.543959x 1.543959x
0.456041x−1=0
0.456041x−1+1=0+1
0.456041x=1
0.456041x
0.456041
=
1
0.456041
0.456041)
x=2.192785
Answer:
x = 2.19
Step-by-step explanation:
Given that,
An equation, [tex]5^{2x-1} =12^{x}[/tex]
To find,
The value of x.
Solution,
We have,
[tex]5^{2x-1} =12^{x}[/tex]
Taking log both sides,
[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]
We know that,
[tex]\text{log}\ a^n=n\ \text{log}a[/tex]
So,
[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]
So,
[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]
So, the value of x is equal to [tex]2.19[/tex].
Reference,
https://brainly.com/question/14968632
What is the midpoint between points (4, 7) and (1, 1)?
Answer:
(2.5, 4)
Step-by-step explanation:
Refer to the formula above. We will sub our points into it.
(4, 7) (1, 1)
(x¹, y¹) (x², y²)
[tex]( \frac{4 +1}{2} \frac{7 + 1}{2} )[/tex]
(5/2, 8/2)
(2.5, 4)
find x or solve for x .
Brainliest to whoever gets it right: Apply the appropriate mathematical operation to solve this occupation related problem.
Labor rate: $8.75 per hour.
Hours worked: 16
Total price of services: $224
Overhead rate: %
Answer:
37.5%
Step-by-step explanation:
Labor rate = 8.75 dollars per hour.
Hours worked = 6
Direct cost of labor = 140 dollars
Total price of services = 224 dollars
Therefore, the overheads = 84 dollars which is
84 X 100 / 224 = 37.5%
(4x+7) (4x-7)=
give the solution pleasee
Answer:
16x - 49
Step-by-step explanation:
Answer:
Im not sure 4x+8 and then 4×-7??? do it on your calendar frl amd you can see amd type exactly what the guesting..
[tex]Which point is closer to the line y=1/2x+4, A(-2,6) or B (4,3)?[/tex]
9514 1404 393
Answer:
neither; they are the same distance from the line
Step-by-step explanation:
The distance of point (x, y) from line ax+by+c=0 is given by ...
d = |ax +by +c|/(√a² +b²)
Since we're using the same line for both points, we only need to evaluate ...
d = |ax +by +c|
Subtracting y can put the equation in the desired form:
1/2x -y +4 = 0
__
For point A, the expression of interest evaluates to ...
|(1/2)(-2) -(6) +4| = |-1-6+4| = 3
For point B, the expression of interest evaluates to ...
|(1/2)(4) -(3) +4| = |2-3+4| = 3
These values tell us the points are the same distance from the line.
_____
The attached graph shows that circles of the same radius centered on A and B are both tangent to the line. Hence the distances are the same.
Help me with 7 and 8 pleaseeeee
Answer:
7 is 8,and 8 is 23p+9
Answer:
7= 8
8=
Step-by-step explanation:
a b c d e f g h i j k l m n o p q r s t u v w x y z
Answer:
???
Step-by-step explanation:
Answer:
now i know my abc's
Step-by-step explanation:
Which is equivalent to 72 inches?
O A 0.72 yards
O B. 2 yards
O c. 6 yards
O D. 7.2 yards
O E. 36 yards
the answer is B because there is 36 inches in 1 yard
Answer:
Its 2 yards
Step-by-step explanation:
divide 72 by 36