Question

Fungsi f dan g dgn f(x)=2x+1 dan (f o g) (x)= x/x+1 tntukan invers dr fungsi g?

Answer 1

G(x) = (x / x+1  - 1) / 2 = -1 / 2x+2
invers g(x) = -2x - 1 / 2x = - (2x+1) / 2x

Answer 2

(f o g)(x) = x/(x + 1)
f(g(x)) = x/(x + 1)
2g(x) + 1 = x/(x + 1)
2g(x) = x/(x + 1) - 1
2g(x) = (x - (x + 1))/(x + 1)
2g(x) = -1/(x + 1)
g(x) = -1/(2x + 2)
y = -1/(2x + 2)
2xy + 2 = -1
2xy = -3
x = -3/2y
g^-1 (x) = -3/2x