Consider the function h(x) =x2 - 12x + 58. Which represents a domain restriction and the corresponding inverse function?

A

Step-by-step explanation:

I just took the test on edgenuity.

Solve for the inverse:

(x-6)(x-6)=x squared -12x +36

36 + ? = 58

58-36= 22

That gives us (x-6) squared + an additional 22 so we have a total of 58.

Then (x-6) gives you the restriction since the vertex would be at (6,22).

X=6

X is greater than or equal to 6. This eliminates the bottom two options.

This leaves A and B. The only difference between them is adding or subtracting 6 from the square root. I put 6+ because we want an answer that is greater than 6 (which was the restriction).

So, the overall answer would be A:

x is greater than or equal to 6 and f(x)=6+ square root of x-22

step-by-step explanation: