question\ngiven $g(x) = -5x + 2$, find $g(-4)$.

Explanation:

Step1: Substitute x with -4

To find ( g(-4) ), we substitute ( x = -4 ) into the function ( g(x) = -5x + 2 ). So we get ( g(-4) = -5(-4) + 2 ).

Step2: Calculate the multiplication

First, calculate ( -5(-4) ). Multiplying two negative numbers gives a positive result, so ( -5(-4) = 20 ).

Step3: Calculate the addition

Now, add 2 to the result from Step 2. So ( 20 + 2 = 22 ).

Answer:

22