Mohon bantuannya, terimakasih

MAPEL : MATEMATIKA

KELAS : X

SUB BAB : FUNGSI KOMPOSISI

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Diketahui
↪f(x) = 5x - 6
↪g(x) = (2x + 3)/(x - 1)

Ditanya
↪(f o g) (x)

Jawaban :

(f o g) (x) = f(g(x)) = f((2x + 3)/(x - 1))

(f o g) (x) = 5((2x + 3)/(x - 1)) - 6

[tex](f \: o \: g)(x) = \frac{10x + 15}{x - 1} - 6 \\ (f \: o \: g)(x) = \frac{(10x + 15)}{(x - 1)} - \frac{6(x - 1)}{(x - 1)} \\ (f \: o \: g)(x) = \frac{(10x + 15 - 6x + 6)}{(x - 1)} \\ (f \: o \: g)(x) = \frac{(4x + 21)}{(x - 1)} [/tex]

Jawaban B. ✔