If f(x) = 7x2 – 3 and g(x) = 5x, which expression is equivalent to [g o f](2)?
Answer
A
(5 · 2)(7(22) – 3)
B
5(7 · 22 – 3)
C
7(5 · 2)2 – 3
D
7(2)2 + 5(2) – 3
Explanation
The composition [g ∘ f](2) means g(f(2)). First, f(2) = 7(2²) − 3; then g takes that result and multiplies it by 5. So [g ∘ f](2) = 5(7 · 2² − 3), which is choice B.
AI-written and checked against the verified answer.