Question

Evaluate the function f(g(1)) when f(x) = x²-3 and g(x) = x+7.

A) 59
B) 63
C) 65
D) 69

Answer 1

To evaluate f(g(1)), first find g(1) which is 8, then substitute that into f(x) to get f(8) or 64 - 3, resulting in a final answer of 61.

Step-by-step explanation:

The student is asking to evaluate the composition of two functions, specifically f(g(1)). The function g(x) = x + 7 should be evaluated first, and then the result is used as the input for the function f(x) = x2 - 3.

1. First, substitute 1 into g(x): g(1) = 1 + 7 = 8.
2. Next, substitute g(1) into f(x): f(g(1)) = f(8) = 82 - 3.
3. Calculate f(8): f(8) = 64 - 3 = 61.

Therefore, the result of f(g(1)) is 61. However, this option is not listed in the multiple-choice answers provided, which indicates that there may be a typo or error in the question or answer choices.