1. Answer:
From the graph, we can see that when [tex]x=-1[/tex], then [tex]g(-1)=-3[/tex]. On the other hand, we need to calculate [tex]h(-1)[/tex], that is, the output of [tex]h[/tex] at [tex]x=-1[/tex], so [tex]h(-1)=-3(-1)+8=11[/tex]. Well, we have two values:
[tex]g(-1)=-3 \\ \\ h(-1)=11[/tex]
For [tex]g(-1)[/tex] the options are:
a) is greater than [tex]h(-1)[/tex]
b) is equal than [tex]h(-1)[/tex]
c) is less than [tex]h(-1)[/tex]
Since:
[tex]-3<11[/tex]
The correct option is:
c) is less than [tex]h(-1)[/tex]
2. Answer:
From the graph, we can see that when [tex]x=1[/tex], then [tex]g(1)=5[/tex]. From the previous exercise, we know [tex]h(-1)[/tex]. So we have:
[tex]g(1)=5 \\ \\ h(-1)=11[/tex]
For [tex]g(1)[/tex] the options are:
a) is greater than [tex]h(-1)[/tex]
b) is equal than [tex]h(-1)[/tex]
c) is less than [tex]h(-1)[/tex]
Since:
[tex]5<11[/tex]
The correct option is:
c) is less than [tex]h(-1)[/tex]
