Diket F (x ) = x +4, x€R dan (gof)(x) = x2 + 4x +3 ditanya 9 (5)mohon di bantu kak:((
Jawaban:
f(x) = x + 4
(gof)(x) = x² + 4x + 3
g(f(x)) = x² + 4x + 3
g(x + 4) = x² + 4x + 3
misalkan:
y = x + 4
x = y – 4
g(x) = (x – 4)² + 4(x – 4) + 3
g(x) = x² – 8x + 16 + 4x – 16 + 3
g(x) = x² – 4x + 3
g(5) = (5)² – 4(5) + 3
g(5) = 25 – 20 + 3
g(5) = 8