Jika f (x) 2x-3 dan g(x) =x^2-4x+4 tentukan rumus fog (x) dan gof(1)

jawab

f(x) = 2x - 3
g(x) = x² - 4x + 4

fog(x) = f { g(x)}
= f {x² - 4x + 4 }
= 2 (x² - 4x + 4) - 3
= 2x² - 8x  + 8 - 3
= 2x² - 8x + 5

gof(x) = g { f(x)}
= g{2x-3)
= (2x-3)² - 4(2x - 3) + 4
= 4x²- 12x + 9  - 8x + 12 + 4
= 4x² - 20x + 25