Math Problem Solver

2.1 Given that, f(x) = 3x + 6 and, g(x) = 4x + k, for what value of k is f(g(x)) = g(f(x))?

2.2 If U = {a, e, i, o, u}

And

A = {a, e, i}

B = {e, o, u}

C = a, i, u}

Verify that

2.2.1 A – (B ∩ C) = (A – B) U (A – C)

2.2.2 A ∩ (B – C) = (A ∩ B) – (A ∩ C)