Question

Diketahui f(x)=2x-5/x dan (f o g) ( x) = 2-x
Tentukan g(x)

Answer 1

F(x) = 2x-5 /x
(f°g) = 2-x
2-x = f(g(x))
2-x = 2(g(x)) - 5 / g(x)
g(x)(2-x) =2(g(x)) -5
2(g(x))- x(g(x)) = 2 (g(x)) -5
2(g(x)) - 2(g(x)) +5 = x (g(x))
5= x (g(x))
 g(x) = 5/x

Answer 2

F(x) = (2x-5)/(x)
fog(x)= 2 - x
f{g(x)} = 2 - x

2.g(x) - 5 / g(x) = 2 - x
2. g(x) - 5 = (2-x) . g(x)
2. g(x) - 5 = 2. g(x)  - x. g(x)
x . g(x)  + 2. g(x)  - 2. g(x) = 5
x. g(x) = 5
g(x) = 5/x