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If [tex]$g(x) = 4x - 5$[/tex], find [tex]$g(-4)$[/tex].

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To find [tex]\( g(-4) \)[/tex] given the function [tex]\( g(x) = 4x - 5 \)[/tex], follow these steps:

1. Identify the given function: [tex]\( g(x) = 4x - 5 \)[/tex].
2. Substitute [tex]\( x = -4 \)[/tex] into the function:
[tex]\[ g(-4) = 4(-4) - 5 \][/tex]
3. Perform the multiplication inside the parentheses:
[tex]\[ 4 \cdot (-4) = -16 \][/tex]
4. Substitute this result back into the equation:
[tex]\[ g(-4) = -16 - 5 \][/tex]
5. Finally, perform the subtraction:
[tex]\[ -16 - 5 = -21 \][/tex]

So, [tex]\( g(-4) = -21 \)[/tex].

Answer:

g(-4)= -21

Explanation:

Find g(-4) by using substitution!

  1. First, rewrite your equation where x is replaced by -4: g(x)= 4(-4) - 5
  2. Now solve:

g(x)= 4(-4) - 5

= -16 - 5

= -21

g(-4)= 21

Learn more about substituting in math here: https://brainly.com/question/30239658

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