tentukan formula untuk fungsi f(x) apabila diketahui a) g(x) = 4x-1 dan (gof)(x) = x+5 b) g(x) = 2x+1 dan (gof)(x) = 10x-7 c) g(x) = 4x-1 dan (gof)(x) = [tex]2
Matematika
fakhranaizazi
Pertanyaan
tentukan formula untuk fungsi f(x) apabila diketahui
a) g(x) = 4x-1 dan (gof)(x) = x+5
b) g(x) = 2x+1 dan (gof)(x) = 10x-7
c) g(x) = 4x-1 dan (gof)(x) = [tex]2 x^{2} [/tex]-x+3
d) g(x) = 3-2x dan (gof)(x) = [tex] x^{2} - x^ + 4[/tex]
e) g(x) = x+1 dan (gof)(x) = 3x+5
a) g(x) = 4x-1 dan (gof)(x) = x+5
b) g(x) = 2x+1 dan (gof)(x) = 10x-7
c) g(x) = 4x-1 dan (gof)(x) = [tex]2 x^{2} [/tex]-x+3
d) g(x) = 3-2x dan (gof)(x) = [tex] x^{2} - x^ + 4[/tex]
e) g(x) = x+1 dan (gof)(x) = 3x+5
1 Jawaban
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1. Jawaban ilhamadiyaksa
a. (gof) (x) = x+5
g (f(x)) = x+5
masukkan kedalam rumus g(x) = 4x-1, tapi x diganti f(x)
4.f(x) - 1 = x+5
4.f(x) = x+6
f(x) = [tex] \frac{x+6}{4} [/tex]
b. (gof)(x) = 10x-7
g(f(x)) = 10x-7
masukka dlm rumus 2x+1, tp x diganti f(x)
2.f(x) +1 = 10x-7
2.f(x) = 10x- 8
f(x) = [tex] \frac{10x-8}{2} [/tex]
sisanya coba sendiri yaa;)