You can put this solution on YOUR website! find the difference quotient for f(x)=2x^2-5x-3.
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The difference quotient is [f(x+h)-f(x)]/h
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f(x+h) = 2(x+h)^2 -5(x+h) -3
= 2x^2+4hx+2h^2-5x-5h-3
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Subtract f(x) from that to get:
=4hx+2h^2-5h
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Divide by h to get:
=4x+2h-5
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That is the difference quotient of f(x)=2x^2-5x-3
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Cheers,
Stan H.