Question

Jika g(x) = x-2 dan (f•g)(x) = x²-x-7 Fungsi f(x) =

Answer 1

G(x)= x-2 --> g⁻¹(x)= x+ 2
f(x)= (fog)og⁻¹(x)
f(x)= {fog} (x+2)
f(x)= (x+2)² - (x+2) - 7
f(x)= x²+4x+4 -x -2 - 7
f(x) = x² + 3x - 5

Answer 2

(f•g)(x) = x²-x-7
(f(g(x)) = x²-x-7
(f(x-2)) = x²-x-7
 f(x) =  x^2 -x-7
           ----------
            x-2
      = x+1-\frac{5}{x-2}