Question

Jika f(x)= x2 – 2x + 2 dan g (x) = x + 1, tentukan :

a. Rumus fungsi (f ₒ g) (x)
b. Nilai a agar (g ₒ f) (a) = 2

mohon bantuannya

Answer 1

A) (f o g)(x) = f(g(x))
= f(x + 1)
= (x + 1)^2 - 2(x + 1) + 2
= x^2 + 2x + 1 - 2x - 2 + 2
= x^2 + 1

b)(g o f)(a) = 2
=> g(f(a)) = 2
=> g(a^2 - 2a + 2) = 2
=> (a^2 - 2a + 2) + 1 = 2
=> a^2 - 2a + 1 = 0
=> (a - 1)(a - 1) = 0
=> a = 1