Question

the functions f and g are defined as follows.
f(x)=2x+4 g(x)=-3x² -2
find f(-7) and g(5).
simplify your answers as much as possible.
f(-7) =
g(5) =

Explanation:

Step1: Calculate \( f(-7) \)

Substitute \( x = -7 \) into \( f(x) = 2x + 4 \).
\( f(-7) = 2\times(-7) + 4 \)
\( = -14 + 4 \)
\( = -10 \)

Step2: Calculate \( g(5) \)

Substitute \( x = 5 \) into \( g(x) = -3x^2 - 2 \).
\( g(5) = -3\times(5)^2 - 2 \)
\( = -3\times25 - 2 \)
\( = -75 - 2 \)
\( = -77 \)

Answer:

\( f(-7) = -10 \)
\( g(5) = -77 \)