Which is the inverse of the function f(x) = 4x2?

Step-by-step explanation:

To find the inverse of a function, change the f(x) to a y, switch the places of x and y, then solve for the new y:

becomes

Now switch the places of x and y:

and solve for the new y:

Take the square root of both sides to "undo" the square on the y:

and the square root of 1/4 is 1/2, so we have in the end:

Now you can put it back into inverse function notation since that is, after all, an inverse function:

5

step-by-step explanation: