Question

question given the definitions of f(x) and g(x) below, find the value of (g ∘ f)(-5). f(x) = x² + 2x - 3 g(x) = 3x - 14 answer attempt 1 out of 2 submit answer

Explanation:

Step1: Find \( f(-5) \)

Substitute \( x = -5 \) into \( f(x) = x^2 + 2x - 3 \).
\( f(-5) = (-5)^2 + 2(-5) - 3 = 25 - 10 - 3 = 12 \)

Step2: Find \( (g \circ f)(-5) = g(f(-5)) \)

Substitute \( f(-5) = 12 \) into \( g(x) = 3x - 14 \).
\( g(12) = 3(12) - 14 = 36 - 14 = 22 \)

Answer:

22