Jika diketahui f(x) = 2x dan g(x) = 3 – 5x maka (g ° f)^(-1)(x) = …

cari dulu f○g nya

f(g(x))
=> f(3 - 5x)
=> 2×(3 - 5x)
=> 6 - 10x

(f○g)(x) = y
6 - 10x = y
-10x = y - 6
x = (y - 6)/(-10)
x = (6 - y)/10

f-1(x) = (6 - x)/10
atau 1/10 (6 - x)

(g o f)(x) = g(f(x))
= g(2x)
= 3 - 5(2x)
= 3 - 10x
y = 3 - 10x
10x = 3 - y
x = (3 - y)/10
(g o f)^-1(x) = (3 - x)/10

(g o f)^-1(x) = 1/10 (3 - x)