If f(x) = x + 1 and g(x) = 2x, what is (f∘g)(x)?

• A. x+1
• B. 2x+1
• C. 2x-1
• D. x-1

Answer: (B)

This question tests how to compute a composition of functions, meaning you apply the inner function first and then the outer function. Start with g(x) = 2x, so the inner step gives g(x) = 2x. Now apply f to that result: f(g(x)) = f(2x) = (2x) + 1 = 2x + 1. So the composed function (f∘g)(x) is 2x + 1.