Question

find the inverse of function f(x)=(x+1)^3

Answer 1

Procedure to find the inverse of a function.
Change f(x) to y.
Switch x and y. That is wherever you see y put an x there and wherever you see x put a y there.
Solve this new equation for y.
The new equation is now the inverse.

Answer 2

yeah but how do you solve for y when you have to cube it?

Answer 3

i tried to factor but now i'm stuck at y=x(x^2+3x+4)

Answer 4

No you did it wrong. So when you change f(x) to y, you get.\[y=(x+1)^{3}\]. When you switch x and y you get \[x=(y+1)^{3}\]. Solve for y by taking the cube roots of both sides.

Answer 5

ok

Answer 6

Tell me what you get.

Answer 7

\[y=\sqrt[3]{x}-1\]

Answer 8

Perfect!

Answer 9

yay! thank you