Question

F(x) = 2x - 3
(g o f) (x) = 2x -1
g(x) = ....?

Answer 1

F(x) = 2x-3
(gof)(x) = 2x-1
misal g(x) = ax+b

(gof) = g(f(x))
2x-1 = a(2x-3) + b
2x-1 = 2ax - (3a-b)

samakan koefisien n kontanta
koef x → 2 = 2a
               a = 1

kontanta → 1 = 3a-b
                    1 = 3 - b
                    b = 2

maka g(x) = ax+b
                 = x+2