Find the inverse of the function and state whether the inverse is a function Y=x^3-4

Question

anonymous · Answer

To do inverse of functions you first switch the y and the x. So waht would your formula look like?

anonymous · Answer

x=y^3-4?

anonymous · Answer

Correct. now you have to solve for y and that is your answer. Do you need help with that?

anonymous · Answer

yes please, i don't understand how I would do that

anonymous · Answer

Ok we need to isolate the y value to one side of the equation. Show me that please.

anonymous · Answer

x+4=y^3

anonymous · Answer

Good. Now we need to get y^3  reduced to y. Remember what ever we do to one side of the equation we must do to the other. Show me.

anonymous · Answer

do i square root each side? so $$\sqrt{x+4}$$=y?

anonymous · Answer

Not square root but cube root since (y^3). thus answer is
$$y=\sqrt[3]{x+4}$$

anonymous · Answer

Good work. Remember inverse functions simply switch x and y then solve for y.