document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #508956 by josgarithmetic(39617) $\"\"$ $\"About$

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$\"graph%28350%2C350%2C-11%2C11%2C-2%2C20%2Cx%5E2%2B3x%2C5x%2B3%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f=g\"$ means $\"x%5E2%2B3x=5x%2B3\"$
\n" ); document.write( " $\"x%5E2-2x-3=0\"$
\n" ); document.write( " $\"%28x-3%29%28x%2B1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "The intersections are at $\"x=3\"$ and $\"x=-1\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Choosing either function to evaluate the vertical coordinate of each x value,
\n" ); document.write( "g(-1)=5(-1)+3=-2;
\n" ); document.write( "and
\n" ); document.write( "g(3)=5*3+3=18.
\n" ); document.write( "-
\n" ); document.write( "Intersection points are (-1,-2) and (3, 18). \n" ); document.write( "

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