Question

jika g(x) = x + 3 dan (f o g)(x) = x^2 - 4, maka f(x-2) =

Answer 1

(fog)(x) = x^2 - 4
f(g(x)) = x^2 - 4
f(x+3) = x^2 - 4
f(x+3-3) = (x-3)^2 - 4
f(x) = (x^2 - 6x + 9) - 4
f(x) = x^2 - 6x + 5

f(x-2) = (x-2)^2 - 6.(x-2) + 5
f(x-2) = (x^2 - 4x + 4) - 6x + 12 + 5
f(x-2) = x^2 - 10x + 21