Diket F (x ) = x +4, x€R dan (gof)(x) = x2 + 4x +3 ditanya 9 (5)mohon di bantu kak:((​

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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