If f(x) = -x + 7 and g(x) = 2x + 1, what is the value of g(f(2)) ?
Correct answer: D. 11
- A. -11
- B. -5
- C. 5
- D. 11
Explanation
To find g(f(2)), start by evaluating f(2) using the function f(x) = -x + 7:f(2) = -(2) + 7 = 5.Next, substitute f(2) = 5 into g(x) = 2x + 1:g(5) = 2(5) + 1 = 10 + 1 = 11.Therefore, the value of g(f(2)) is 11, which is Option D.Options A, B, and C arise from missteps, such as incorrect substitution or arithmetic errors.
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