Select one the restricted domains of f(x)=(8−2x)2 that will make the inverse of f(x) a function. There may be more than one.

or

Step-by-step explanation:

We are given that

We have to find the restricted domain of f which make the inverse of f.

Substitute x=4

One-to-one function:

The function is called one-to-one when  

for

The function is one-to-one when or

When the function is one-to-one then the function has inverse function.

If the function is not one-to-one  then function has no inverse .

Therefore, the restricted domain of f which make the inverse of f(x) a function is given by  

or

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.