Answer:
See explanation
Step-by-step explanation:
If
[tex]f(x)=-x^2 +3x+5[/tex]
and
[tex]g(x)=x^2 +2,[/tex]
then
[tex](f+g)(x)=-x^2+3x+5+x^2+2=3x+7[/tex]
This is the linear function. To plot the graph of this function, find x- and y- intercepts:
x-intercept:
[tex]y=0\Rightarrow 3x+7=0\\ \\3x=-7\\ \\x=-\dfrac{7}{3}[/tex]
y-intercept:
[tex]x=0\Rightarrow y=3\cdot 0+7\\ \\y=7[/tex]
Plot these two points on the coordinate plane and connect them with a straight line.
