jika g(x-2)=2x-3 dan (fog)(x-2) =4x2-8x+3 maka f(-3)=...

g(x-2)=2x-3

(f o g)(x-2) = 4x²- 8x + 3
f(g(x-2)) = 4x²- 8x + 3
f(2x-3) = 4x² - 8x + 3

misal 2x-3 = k
x = k+3/2

f(k) = 4(k+3/2)² - 8(k+3/2) + 3
f(k) = 4(k²+6k+9/4) - 4(k+3) + 3
f(k) = k² + 6k + 9 - 4k - 12 + 3
f(k) = k²+ 2k
f(x) = x² + 2x

maka
f(-3) = (-3)² + 2(-3)
= 9 + (-6)
= 3