Question

question given the definitions of f(x) and g(x) below, find the value of (g ∘ f)(0). f(x) = 2x² + 2x - 3 g(x) = -5x + 3 answer attempt 1 out of 2 submit answer

Explanation:

Step1: Find \( f(0) \)

Substitute \( x = 0 \) into \( f(x)=2x^2 + 2x - 3 \).
\( f(0)=2(0)^2 + 2(0) - 3 = -3 \)

Step2: Find \( (g \circ f)(0)=g(f(0)) \)

Substitute \( f(0)= -3 \) into \( g(x)= -5x + 3 \).
\( g(-3)= -5(-3) + 3 = 15 + 3 = 18 \)

Answer:

18