Diketahui fungsi f(x) = x + 1 dan g(x) = 5x²+ 3x – 1. Tenukan (gof)(x) =
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Penjelasan dengan langkah-langkah:
f(x) = x + 1
g(x) = 5x² + 3x - 1
(g o f)(x)
g(f(x))
g(x + 1)
= 5(x + 1)² + 3(x + 1) - 1
= 5x² + 10x + 5 + 3x + 3 - 1
= 5x² + 13x + 7
f(x) = x + 1
g(x) = [tex]5x^2 + 3x - 1[/tex]
(g o f)(x) = g(f(x))
(g o f)(x) = g(x + 1)
(g o f)(x) = [tex]5(x + 1)^2 + 3(x + 1)- 1[/tex]
(g o f)(x) = [tex] 5(x^2 + 2x + 1) +3x + 3- 1[/tex]
(g o f)(x) =[tex] 5x^2 + 10x +3x+ 5 + 2 [/tex]
(g o f)(x) = [tex]\bf 5x^2 + 13x + 7[/tex]
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