document.write( "Question 1097310: Given that f(x)=4/x+2, find the difference quotient f(x+h)-f(x)/h using the following steps. Be sure to simplify at every step and combine rational expressions. You don’t need to expand (multiply though) the common denominator for the second and third parts.\r
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Algebra.Com's Answer #711704 by rothauserc(4718) $\"\"$ $\"About$

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f(x+h)-f(x)/h gives us the first derivative of a given function as h approaches 0
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\n" ); document.write( "we are given f(x) = (4/x) + 2
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\n" ); document.write( "a) (4/(x+h)) + 2
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\n" ); document.write( "b) (4/(x+h)) + 2 - (4/x) - 2 =
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\n" ); document.write( "4/(x+h) - (4/x) =
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\n" ); document.write( "4x - 4(x+h) / x(x+h) =
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\n" ); document.write( "4x -4x -4h / x(x+h) =
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\n" ); document.write( "-4h / x(x+h)
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\n" ); document.write( "c) (-4h / x(x+h)) / h =
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\n" ); document.write( "-4h / xh(x+h) =
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\n" ); document.write( "-4 / x^2 + xh
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\n" ); document.write( "as h approaches 0, we have -4/x^2
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