Question

1. The following functions are inverses of each other: f(x) = 3x - 7 and g(x)= x+3 / 7

False, right?

Answer 1

if they are inverses, then f(g(x)) = g(f(x) = 1

So, what do we have?

f(g) = 3g-7 = 3((x+3)/7)-7 ≠ x

Note that if g = (x+7)/3, then f = g^-1