Question

If f(x)= -x^2+3x+5 and g(x) =x^+2, which graph of (f+g)(x)

Answer 1

Answer:

See explanation

Step-by-step explanation:

If

$f(x)=-x^2 +3x+5$

and

$g(x)=x^2 +2,$

then

$(f+g)(x)=-x^2+3x+5+x^2+2=3x+7$

This is the linear function. To plot the graph of this function, find x- and y- intercepts:

x-intercept:

$y=0\Rightarrow 3x+7=0\\ \\3x=-7\\ \\x=-\dfrac{7}{3}$

y-intercept:

$x=0\Rightarrow y=3\cdot 0+7\\ \\y=7$

Plot these two points on the coordinate plane and connect them with a straight line.