Question

consider the three functions
$f(x) = 6 - 2x$
$g(x) = \frac{4}{5}x - 2$
$r(x) = 55x$
evaluate the following by filling out the table below (make sure to use the correct function based on its letter)

function notation	answer	result
$g(-10) =$
$r(3) =$

Explanation:

Step1: Evaluate \( f(6) \)

Substitute \( x = 6 \) into \( f(x)=6 - 2x \).
\( f(6)=6-2\times6=6 - 12=-6 \)

Step2: Evaluate \( g(-10) \)

Substitute \( x=-10 \) into \( g(x)=\frac{4}{5}x - 2 \).
\( g(-10)=\frac{4}{5}\times(-10)-2=-8 - 2=-10 \)

Step3: Evaluate \( r(3) \)

Substitute \( x = 3 \) into \( r(x)=55x \).
\( r(3)=55\times3 = 165 \)

Answer:

Function Notation	Answer	Result
\( g(-10)= \)	\( \frac{4}{5}\times(-10)-2 \)	\( -10 \)
\( r(3)= \)	\( 55\times3 \)	\( 165 \)