Question

Evaluate the composite function, where f(x) = 2x + 3 and g(x) = x² – 5x.

(f ∘ g)(2) = ?
A) 1
B) -1
C) -3
D) 3

Answer 1

The value of the composite function (f \circ g)(2) is calculated by first finding g(2), which is -6, and then evaluating f(-6) resulting in -9. However, this result is not listed in the provided options.

Step-by-step explanation:

To evaluate the composite function (f \circ g)(2), we first need to find the value of g(2) and then apply the result as an input to the function f.

Given:
f(x) = 2x + 3g(x) = x² − 5x

Step 1: Evaluate g(2).
g(2) = 2² − 5(2) = 4 − 10 = -6

Step 2: Evaluate f(g(2)), which is f(-6).
f(-6) = 2(-6) + 3 = -12 + 3 = -9

Thus, the value of (f \circ g)(2) is -9. This is not one of the options provided in the question, indicating there may have been a mistake in the options given or in the initial functions provided.