Diketahui g(x)= x^(2)-2x dan (f o g)(2x-1)=16x^(2)-32x+14, tentukan f (x)

jawab

g(x)  = x^2 - 2x
fog(x)= 16x^2 - 32x + 14

f{ g(x) } = 16 x^2 -32 x + 14
f (x^2 - 2x) = 16 x^2  - 32x + 14
f(x^2-2x) = 16(x^2 -2x)  + 14
f(x) = 16x + 14

g(x) = a = x² - 2x
x² = a + 2x

f(g(x)) = 16x² - 32x + 14
f(a) = 16(a + 2x) - 32x + 14
f(a) = 16a + 32x - 32x + 14
f(a) = 16a + 14

f(x) = 16x + 14