Question

Diketahui fungsi f (x)=2x-3 dan fungsi g (x)=x pangkat 2-4-5. Tentukan fungsi komposisi berikut: a (f o g)(x) dan b (g o f) (x)

Answer 1

Verified answer

F (x) = 2x+3 Dan g(x) = x^2 -4x -5
a) (f o g)(x) = f { g(x) }
= f (x^2 -4x -5)
= 2(x^2 -4x -5) + 3
= 2x^2 -8x -10 + 3
= 2x^2 -8x - 7
b) (g o f)(x) = g { f(x) }
= g (2x-3)
= (2x-3)^2 - 4(2x-3) -5
= 4x^2 - 12x + 9 -8x + 12 -5
= 4x^2 -20x + 16