Question

F(x) =2x-3 e (fog) (x)= 2x-7. Determine g(x)

Answer 1

(fog)(x) = 2(g(x)) - 3

2x - 7 = 2(g(x)) - 3 ⇒ 2g(x)) = 2x - 7 + 3

2(g(x)) = 2x - 4 ⇒ g(x) = (2x - 4) / 2

g(x) = x - 2