diketahui (gof)(x)=2x+3 dan f(x)=x+2 tentukan nilai g(-3) !
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Jawaban:
g(-3) = -7
Penjelasan dengan langkah-langkah:
Semoga mudah dipahami
[tex] \begin{align} (g\circ f)(x) &= 2x+3 \\ g(f(x)) &= 2x+3 \\ g(x+2) &= 2x+3 \end{align} [/tex]
misal [tex] a=x+2 \implies x =a-2 [/tex], maka:
[tex] \begin{align} g(x+2) &= 2x+3 \\ g(a) &= 2(a-2)+3 \\ g(a) &= 2a-4+3 \\ g(a) &= 2a-1 \\ \implies g(x) &= 2x-1 \end{align} [/tex]
sehingga:
[tex] g(-3) = 2(-3)-1 = -6-1 = -7 [/tex]
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