Question

Diketahui fungsi f(x)= 2x^2-x+1. Fungsi g(x-2)=3x+4. Berapakah nilai (f o g)(x

Answer 1

F(x) = 2x² - x + 1
G(x - 2) = 3x + 4

Misal x - 2 = a
X = a + 2
G(a) = 3(a + 2) + 4
G(a) = 3a + 6 + 4
G(a) = 3a + 10
G(x) = 3x + 10


Fog(x) = f(g(x))
= 2(3x + 10)² - (3x + 10) + 1
= 2(9x² + 60x + 100) - 3x - 30 + 1
= 18x² + 120x + 200 - 3x - 29
= 18x² + 117x + 171