All categories

2 years ago

F(x) = 3x + 6. Find the inverse of f(x).

Mathematics

1 answer:

Levart [38]2 years ago

3 0

Answer:

$\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}$

Step-by-step explanation:

We're given,

$\tt f(x) = 3x + 6$

$\tt y=3x+6$

$\tt x=3y+6$

$\tt x-6=3y$

$\tt y=\cfrac{x-6}{3}$

$\tt f^{-1}(x)=\cfrac{x-6}{3}$

You might be interested in

What does the following expression mean?<br> 7!<br><br> A. 7+6+5+4+3+2+1<br> B. 7·6·5·4·3·2·1

frez [133]

Answer: B

Step-by-step explanation:

A factorial is multiplying the integer and all of the integers below it together.

3 0

3 years ago

1. Determine a rule that could be used to explain how the volume of a

Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

$V_c = \pi *r^2*h$

- Similarly, the volume of cone ( V_c ) is represented by:

$V_c = \frac{1}{3}*\pi *r^2 * h$

Where,

r : The radius of cylinder / radius of circular base of the cone

h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

$V = C*r^2$

Where,

C: The constant of proportionality

- Hence the proportional relation is expressed as:

V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

$V = C*(a*r)^2\\\\V = C*a^2*r^2$

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

$V = (\frac{1}{3} \pi *r^2*h)*a^2$

$V = ( \pi *r^2*h)*a^2$

8 0

3 years ago

Describe how to transform the graph of g(x) = logx into the graph of f(x) = 2 log(4 – x)

Lostsunrise [7]

Answer:

Step-by-step explanation:

Just took the test

8 0

3 years ago

What is an equation of a line that passes through the point of (-8 2) and (-4,-3)

Alex_Xolod [135]

Answer:

Step-by-step explanation:

$(-8,2)=(x_1 ,y_1)\\(-4 ,-3) = (x_2 ,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-2}{x-(-8)}= \frac{-3-2}{-4-(-8)}\\ \\\frac{y-2}{x+8}= \frac{-5}{-4+8} \\ \\\\\frac{y-2}{x+8} = \frac{-5}{4}\\ \\Cross\:Multiply \\4(y-2) = -5(x+8)\\\\4y-8 =- 5x-40\\\\4y = -5x-40+8\\\\4y =- 5x-32\\\\\frac{4y}{4} = \frac{-5x}{4} + \frac{-32}{4} \\\\y = -\frac{5}{4}x-8$

3 0

3 years ago

Solve pls brainliest

kipiarov [429]

The answer should be 4.3 (the line is ontop of the 3)

The line is on the 3

6 0

2 years ago