Answer:
if f(g(x)) = g(f(x)), then x is equal to zero.
Step-by-step explanation:
given:
f(x) = 2x²
g(x) = x + 1
then:
f(g(x)) = 2(x + 1)²
g(f(x) = 2x² + 1
so if:
f(g(x)) = g(f(x))
then:
2(x + 1)² = 2x² + 1
2(x² + 2x + 1) = 2x² + 1
2x² + 2x + 1 = 2x² + 1
2x = 0
x = 0
