Question

Find the inverse of F(x) =x-4.
I really need someone to walk me through this.

Answer 1

replace f(x) with y

y = x - 4

Answer 2

Swap x and y

x = y - 4

Answer 3

Then solve for y (ie isolate y)

x = y - 4

x+4 = y - 4 + 4

x+4 = y

y = x + 4

Answer 4

So the inverse is \[\Large f^{-1}(x) = x+4\]

Answer 5

So again, the basic outline is

step 1) replace f(x) with y
step 2) swap x and y
step 3) solve for y to get the inverse

Answer 6

Thank You so much my teacher really hasn't broken down what we do in class and we're having problems with our school curriculum so thank you I really appreciate this.:)

Answer 7

you're welcome