Diketahui f(x)=3x+4 dan g(x)=2x−1 untuk x∈R. Tentukan fungsi-fungsi berikut! (f⋅g)(x)

Diketahui f(x)=3x+4 dan g(x)=2x−1 untuk x∈R. Tentukan fungsi-fungsi berikut! (f⋅g)(x)

Jawaban yang benar adalah (f · g)(x)= 6x² + 5x – 4.

Sifat :
(a + b)(c – d) = ac – ad + bc – bd
(f · g)(x) = f(x) · g(x)

f(x) = 3x + 4
g(x) = 2x – 1

(f · g)(x) = f(x) · g(x)
= (3x + 4)(2x – 1)
= 3x · 2x – 3x · 1 + 4 · 2x – 4 · 1
= 6x² – 3x + 8x – 4
= 6x² + 5x – 4

Jadi, (f · g)(x) = 6x² + 5x – 4.

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