Question

the functions f and g are defined as follows. f(x) = -5x - 3, g(x) = -2x³ - 3. find f(5) and g(-4). simplify your answers as much as possible. f(5) = □, g(-4) = □

Explanation:

Step1: Calculate \( f(5) \)

Substitute \( x = 5 \) into \( f(x)=-5x - 3 \).
\( f(5)=-5\times5 - 3 \)
\( = -25 - 3 \)
\( = -28 \)

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

Substitute \( x = -4 \) into \( g(x)=-2x^{3}-3 \).
First, calculate \( (-4)^{3}=-64 \).
Then, \( -2\times(-64)=128 \).
So, \( g(-4)=128 - 3 \)
\( = 125 \)

Answer:

\( f(5)= -28 \)
\( g(-4)= 125 \)