14-07-2014
Mathematics

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What will a graph that represent the inverse of h(x)=-3x+6 look like?

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14-07-2014

[tex]h(x)=-3x+6\\\\for\ x=0\to y=-3\cdot0+6=6\to(0;\ 6)\\\\for\ x=2\to y=-3\cdot0+6=-6+6=0\to(2;\ 0)\\\\h^{-1}(x):\\\\y=-3x+6\\3x=-y+6\ \ \ \ /:3\\x=-\frac{1}{3}y+2\\\\h^{-1}(x)=-\frac{1}{3}x+2[/tex]

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