f(x) = 5x + 1 g(x) = 2x - 3 / 5 ; jika (f o g o h) (x) = 2x^2 - 2 h(x) = ?

(fog)oh) (x) = 2x² - 2

cari dulu (fog) (x)
5(g(x) + 1
5(2x-3 / 5) + 1
2x-3+1
2x-2

jadi
(fog)(x) = 2x-2

maka (fog)oh) (x)
2(h(x))-2=2x²-2
2h(x) = 2x²-2+2
2h(x) = 2x²
h(x) = 2x² / 2
h(x) = x²

jadi nilai h(x) = x²

f (x) = 5x + 1   ; g (x) = (2x - 3) / 5  ; (fogoh) (x) = 2x² - 2

     (fogoh)(x) = f (g (h(x)))
          2x² - 2  = f ((2 .h(x) - 3)/5)
           2x² - 2 = 5 {2.h(x) - 3) / 5} + 1
           2x² - 2 = 2.h (x) - 3 + 1
          2x² - 2  = 2.h (x) - 2
     2x² - 2 + 2 = 2. h(x)
                2x²  = 2. h(x)
            h (x)  = 2x² / 2
            h (x)  = x²