Question

Jika f(x) = 3x - 4 dan g(x) = x, maka tentukan nilai dari (g o f)⁻¹(4)!
tolong di jawab YA kakak yg CERDAS!!!!!!!!!! PLISS

Answer 1

F(x) = 3x-4
g(x) = x
(gof)(x) = g(f(x))
           = 3x-4
misal (gof)(x) = y
y = 3x-4
3x = y+4
x = (y+4)/3
(gof)⁻¹(x) = (x+4)/3
(gof)⁻¹(4) = (4+4)/3
             = 8/3
             = 2 2/3

Answer 2

F(g(x)) = 3x - 4
(g o f) invers
y = 3x - 4
y + 4 = 3x
(y + 4)/3 = x

(g o f) invers (4) = (x + 4)/3 = (4 + 4)/3 = 8/3