Compute (f∘g)(-1) for f(x) = x - 1 and g(x) = 3x + 4.

• A. 0
• B. 3
• C. -1
• D. 4

Answer: (A)

In a composition like (f∘g)(x), you first apply g to the input, then apply f to that result. So for the input -1, start with g(-1). With g(x) = 3x + 4, g(-1) = 3(-1) + 4 = -3 + 4 = 1. Now apply f to that: f(1) = 1 - 1 = 0. Therefore (f∘g)(-1) equals 0. This illustrates how the order of applying functions matters in composition: swapping the order would generally give a different result.