Question

question
given the definitions of f(x) and g(x) below, find the value of (g ∘ f)(1).

f(x) = 3x² + 3x - 6

g(x) = 3x - 14

answer attempt 1 out of 2

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Explanation:

Step1: Find \( f(1) \)

Substitute \( x = 1 \) into \( f(x)=3x^{2}+3x - 6 \):
\( f(1)=3(1)^{2}+3(1)-6 \)
\( = 3 + 3 - 6 \)
\( = 0 \)

Step2: Find \( (g\circ f)(1)=g(f(1)) \)

Since \( f(1) = 0 \), substitute \( x = 0 \) into \( g(x)=3x - 14 \):
\( g(0)=3(0)-14 \)
\( = - 14 \)

Answer:

\(-14\)