Answer:
[tex]g(-4)[/tex] is less than [tex]g(2)[/tex]
Step-by-step explanation:
We have been given a function [tex]g(x)=4x-5[/tex]. We are asked to compare and contrast g(2) and g(-4).
First of all, we will find g(2) and g(-4) as:
[tex]g(x)=4x-5[/tex]
[tex]g(2)=4(2)-5[/tex]
[tex]g(2)=8-5[/tex]
[tex]g(2)=3[/tex]
[tex]g(x)=4x-5[/tex]
[tex]g(-4)=4(-4)-5[/tex]
[tex]g(-4)=-14-5[/tex]
[tex]g(-4)=-19[/tex]
Since [tex]-19<3[/tex], therefore, [tex]g(-4)[/tex] is less than [tex]g(2)[/tex]
