Question

I get a little confused by these.
For 𝑓(𝑥) = 𝑥 − 2, find 𝑓^−1(𝑥).
Then find 𝑓(𝑓^−1(8))

Answer 1

I know that 𝑓(𝑓^−1(8)) is 8

Answer 2

my answer is either
𝑓^−1(𝑥) = −𝑥 + 2 ; 8
or
f^-1(x)=x+2;8

Answer 3

I'm just not sure which one

Answer 4

@Vocaloid could you perhaps clarify this for me?

Answer 5

do you know how to solve y=x-2 for x?

Answer 6

like to get x by itself?

Answer 7

yeah x=2+y

Answer 8

cool
now that is basically it
interchange x and y
and you have your inverse function

Answer 9

y=2+x
or you can write as
y=x+2

Answer 10

where you can replace y with f^(-1)(x)

Answer 11

Right.
So would it be f^-1(x)=x+2;8?

Answer 12

yes

y=x-2
y+2=x
so
f^(-1)(x)=x+2

Answer 13

Awesome, thanks so much!