Question

the functions f and g are defined as follows. f(x)=4x+2 g(x)=2x² -3x find f(-6) and g(-4). simplify your answers as much as possible. f(-6)=□ g(-4)=□

Explanation:

Step1: Find \( f(-6) \)

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

Step2: Calculate \( f(-6) \)

First, multiply \( 4 \) and \( -6 \): \( 4(-6) = -24 \)
Then, add \( 2 \): \( -24 + 2 = -22 \)

Step3: Find \( g(-4) \)

Substitute \( x = -4 \) into \( g(x) = 2x^2 - 3x \).
\( g(-4) = 2(-4)^2 - 3(-4) \)

Step4: Calculate \( g(-4) \)

First, calculate \( (-4)^2 = 16 \), then multiply by \( 2 \): \( 2(16) = 32 \)
Next, calculate \( -3(-4) = 12 \)
Finally, add the two results: \( 32 + 12 = 44 \)

Answer:

\( f(-6) = -22 \)
\( g(-4) = 44 \)