Question

the functions f and g are defined as follows.
\\( f(x) = -4x + 2 \\) \\( g(x) = 4x^2 - x \\)
find \\( f(6) \\) and \\( g(-2) \\).
simplify your answers as much as possible.
\\( f(6) = \square \\)
\\( g(-2) = \square \\)

Explanation:

Step1: Find \( f(6) \)

Substitute \( x = 6 \) into \( f(x)=-4x + 2 \).
\( f(6)=-4\times6 + 2 \)

Step2: Calculate \( f(6) \)

First, calculate \( -4\times6=-24 \), then \( -24 + 2=-22 \). So \( f(6)=-22 \).

Step3: Find \( g(-2) \)

Substitute \( x=-2 \) into \( g(x)=4x^{2}-x \).
\( g(-2)=4\times(-2)^{2}-(-2) \)

Step4: Calculate \( g(-2) \)

First, calculate \( (-2)^{2}=4 \), then \( 4\times4 = 16 \), and \( -(-2)=2 \). Then \( 16 + 2 = 18 \). So \( g(-2)=18 \).

Answer:

\( f(6)=\boxed{-22} \)
\( g(-2)=\boxed{18} \)