SOLUTION: Given that f(x)=x^2+3x and g(x)=5x+3, solve f(x)=g(x). Graph each function and label the points of intersection.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Given that f(x)=x^2+3x and g(x)=5x+3, solve f(x)=g(x). Graph each function and label the points of intersection.      Log On


   

Question 844857: Given that f(x)=x^2+3x and g(x)=5x+3, solve f(x)=g(x). Graph each function and label the points of intersection.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28350%2C350%2C-11%2C11%2C-2%2C20%2Cx%5E2%2B3x%2C5x%2B3%29

f=g means x%5E2%2B3x=5x%2B3
x%5E2-2x-3=0
%28x-3%29%28x%2B1%29=0
The intersections are at x=3 and x=-1.

Choosing either function to evaluate the vertical coordinate of each x value,
g(-1)=5(-1)+3=-2;
and
g(3)=5*3+3=18.
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Intersection points are (-1,-2) and (3, 18).