Question

Seeking step by step help with inverse functions

Answer 1

Question is:
Determine the inverse function of

f(x) = x3 - 3

Answer 2

If anybody can also please include any knowledge that I should have about inverse functions

Answer 3

well u have\[y=x^3-3\]first step: solve for \(x\)

Answer 4

So would it be: x^3= y + 3 ?

Answer 5

yeah and take cube root :)

Answer 6

So: x= 3 radical y + 3 ?

Answer 7

yeah \[x=\sqrt[3]{y+3}\]
second step : switch x and y

Answer 8

So: \[y= \sqrt[3]{x+3}\] ?

Answer 9

this y is ur inverse

Answer 10

but why we doin this?

Answer 11

What do you mean why are we doing this?

Answer 12

why we swith x and y...then we say this is our inverse function...

Answer 13

I don't know, you tell me why

Answer 14

if (x,y) is a point on f(x) then (y,x) lies on the f^(-1)