Question

Diketahui f(x)=2x-1 dan g(x)=5x/x+1. jika h adalah fungsi sehingga (g o h)(x)=x-2, maka (h o f)(x)=...

Answer 1

G(x) = 5x / x+1
(goh)(x) = 5(h(x)) / (h(x)) + 1

5h(x) / h(x) + 1 = x - 2
xh(x) - 2h(x) + x - 2 = 5h(x)
xh(x) - 2h(x) - 5h(x) = - x + 2
xh(x) - 7h(x) = - x + 2
(x - 7)h(x) = - x + 2
h(x) = - x+2 / x-7

(hof)(x) = -(2x - 1) + 2 / (2x - 1) - 7
(=) -2x + 1 + 2 / 2x - 1 - 7
(=) -2x + 3 / 2x - 8

Answer 2