Which function is the inverse of function f?

Option D is correct.

Step-by-step explanation:

f(x)= 9x^2 -12

Let y = 9x^2 - 12

Switch places of x and y and solve for y

x = 9y^2 - 12

Adding 12 on both sides

x + 12 = 9y^2

Dividing both sides by 9

x+12/9 = y^2

=> Taking square root on both sides

=>

Replace y with g(x)

Option D is correct.

Option D

 for

Step-by-step explanation:

We have the following function

make

To find the inverse of the function, solve for the variable x

Now interchange the variable x with the variable y

 for

Finally, make g(x) = y

 for

f

step-by-step explanation:

f

mx+89b(-98)nb

step-by-step explanation: