I need help with number 4

 Choice D

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Explanation:

First we replace f(x) with y. This is because both y and f(x) are outputs of a function.

To find the inverse, we swap x and y and solve for y like so

Note: because the range of the original function is , this means the domain of the inverse is . The domain and range swap roles because of the swap of x and y.

As the graph shows below, the original and its inverse are symmetrical about the mirror line y = x. One curve is the mirror image of the other over this dashed line.

D

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = + 3 ( subtract 3 from both sides )

y - 3 = ( square both sides )

(y - 3)² = x - 2 ( add 2 to both sides )

(y - 3)² + 2 = x

Change y back into terms of x with x = (x) , then

(x) = (x - 3)² + 2 → D

34

step-by-step explanation: