Diketahui f(x)=1/2 (x-2) g(x)=3x+5 Ditanya: a) fog (-4) b) gofog (x)
Matematika
jestifiosi
Pertanyaan
Diketahui f(x)=1/2 (x-2)
g(x)=3x+5
Ditanya:
a) fog (-4)
b) gofog (x)
g(x)=3x+5
Ditanya:
a) fog (-4)
b) gofog (x)
1 Jawaban
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1. Jawaban RynooP
a) fog (-4) = f(g(-4))
= f(3.(-4) + 5)
= f(-12+5)
= f(-7)
= 1/2 (-7-2)
= 1/2 x (-9)
= -9/2
b) gofog (x) = g(f(g(x)))
= g(f(3x+5))
= g(1/2(3x+5-2))
= g(1/2(3x+3))
= 3(1/2(3x+3))+5
[tex] = \frac{(9x + 9)}{2} + 5[/tex]
[tex] = \: \frac{9x + 19}{2} [/tex]
Semoga membantu :)