Question

Tolong bantuannya :)
f(x) = 2x -4 dan (gof) (x) = 4x^2 -24x +32 . rumus fungsi g(x) = ... ?
a. x^2 -4x +8
b. x^2 - 4x -8
c. x^2 + 4x +8
d. x^2 +4x
e. x^2 - 4x

Answer 1

(gof)(x) = 4x^2 -24x +32
g(f(x))   = 4x^2 -24x +32
g(2x - 4) = (2x - 4)^2 - 16 - 8x + 32
             = (2x -4)^2 - 8x + 16
             = (2x -4)^2 - 4(2x - 4)
g(x)        = x^2 - 4x  (jawaban E)