The functions we have are:
[tex]\begin{gathered} F(x)=x^2 \\ G(x)=3x+1 \end{gathered}[/tex]
And we need to graph F-G
Step 1. Find the expression for F-G.
We subtract the expressions for F(x) and G(x):
[tex]F-G=x^2-(3x+1)[/tex]
Simplifying this expression:
[tex]F-G=x^2-3x-1[/tex]
Step 2. Graph the expression.
In the following image, we can thee the graph for F-G:
