Question

the functions f and g are defined as follows.\\(f(x) = -5x + 2\\) \\(g(x) = 3x^2 - 3x\\) find \\(f(3)\\) and \\(g(-4)\\). simplify your answers as much as possible.\\(f(3) = -13\\)\\(g(-4) = \\)

Explanation:

Step1: Find \( f(3) \)

Substitute \( x = 3 \) into \( f(x) = -5x + 2 \).
\( f(3) = -5(3) + 2 = -15 + 2 = -13 \)

Step2: Find \( g(-4) \)

Substitute \( x = -4 \) into \( g(x) = 3x^2 - 3x \).
First, calculate \( x^2 \): \( (-4)^2 = 16 \)
Then, substitute into the function:
\( g(-4) = 3(16) - 3(-4) = 48 + 12 = 60 \)

Answer:

\( f(3) = -13 \)
\( g(-4) = 60 \)