Question

Are these functions inverses of each other?
f(x) = x + 6
f(x) = x - 6

Answer 1

If you plug one into the other you should just get x.

Answer 2

If it works both ways, then they are inverses.

Answer 3

so no

Answer 4

Really?

f(x-6) = (x-6) + 6 = x - 6 + 6 = x

Answer 5

So that one is x

Answer 6

for the other one..

\[f_2(x+6) = (x+6) - 6 = x + 6 - 6 = x\]

Answer 7

So yeah, they both equal x when you plug in the other one for x. Therefore they are inverses.

Answer 8

thank you so much!