Question

What is the inverse of the function f(x) = 4x + 8?

h(x) = x – 2
h(x) = x + 2
h(x) = x – 2
h(x) = x + 2

Answer 1

The inverse of the function f(x) = 4x + 8 is h(x) = (x - 8) / 4.

Step-by-step explanation:

The inverse of the function f(x) = 4x + 8 can be found by switching the x and y variables and solving for y. So, we have:

x = 4y + 8

Now, we rearrange the equation to isolate y:

x - 8 = 4y

y = (x - 8) / 4

Therefore, the inverse function is h(x) = (x - 8) / 4.

Answer 2

we have

`f(x)=4x+8`

Step 1

Let

`y=f(x)`

`y=4x+8`

Step 2

exchanges the variable x for y and the variable y for x

`x=4y+8`

Step 3

Isolate the variable y

`4y=x-8`

`y=(1)/(4)x-2`

Step 4

Let

`h^(-1)(x)=y`

`h^(-1)(x)=(1)/(4)x-2` ------> the inverse function

therefore

the answer is

`h^(-1)(x)=(1)/(4)x-2`