Let f(x) = x - 1 and g(x) = 3x + 4. Compute (f∘g)(2).

• A. 8
• B. 10
• C. 7
• D. 9

Answer: (D)

Composition of functions means you apply the inner function first, then the outer one. So for (f∘g)(2), first compute g(2) and then feed that result into f.

Compute g(2): 3(2) + 4 = 6 + 4 = 10.

Then apply f to that result: f(10) = 10 − 1 = 9.

Therefore, (f∘g)(2) = 9.