document.write( "Question 971826: use algebra to find the coordinates of the points of intersection of g and h
\n" ); document.write( "g(x)=-4/x and g(x)=-2x+2 \n" ); document.write( "

Algebra.Com's Answer #594217 by rothauserc(4718) $\"\"$ $\"About$

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g(x)=-4/x and g(x)=-2x+2
\n" ); document.write( "set the two equations equal to each other and solve for x
\n" ); document.write( "-4/x = -2x + 2
\n" ); document.write( "for x not = 0, multiply both sides of = by x
\n" ); document.write( "-4 = -2x^2 + 2x
\n" ); document.write( "2x^2 - 2x - 4 = 0
\n" ); document.write( "divide both sides of = by 2
\n" ); document.write( "x^2 -x -2 = 0
\n" ); document.write( "factor polynomial
\n" ); document.write( "(x - 2) * (x + 1) = 0
\n" ); document.write( "we have two solutions for x, x = 2 or -1
\n" ); document.write( "if x = 2 then we have y = -2
\n" ); document.write( "if x = -1 then we have y = 4
\n" ); document.write( "note that we get y by substituting for x in our given equations
\n" ); document.write( "the points of intersection are (2, -2) and (-1, 4)
\n" ); document.write( "here is a graph of the two equations
\n" ); document.write( "the green line is the graph of g(x) = -2x+2, the red line is graph of g(x) = -4/x
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-4%2Fx%2C+-2x%2B2%29+\"$ \n" ); document.write( "

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