document.write( "Question 1046652: The difference quotient is defined to be \"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+\". Find the difference quotient for each of the following functions (make sure to reduce your answer).\r
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\n" ); document.write( "\n" ); document.write( "a. \"+f%28x%29=x%2B1+\"\r
\n" ); document.write( "\n" ); document.write( "b. \"+f%28x%29=+x%5E2%2Bx+\"\r
\n" ); document.write( "\n" ); document.write( "c. \"+f%28x%29=x%5E3+\"\r
\n" ); document.write( "\n" ); document.write( "d. \"+f%28x%29=1%2Fx+\"\r
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Algebra.Com's Answer #662106 by MathLover1(20849)\"\" \"About 
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a. \"+f%28x%29=x%2B1+\"\r
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\n" ); document.write( "\n" ); document.write( "\"+f%28x%2Bh%29=%28x%2Bh%29%2B1\"\r
\n" ); document.write( "\n" ); document.write( "\"+f%28x%2Bh%29=x%2Bh%2B1\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28%28x%2Bh%2B1%29-%28x%2B1%29%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28cross%28x%29%2Bh%2B1-cross%28x%29%2B1%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28h%2B2%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "b. \"+f%28x%29=+x%5E2%2Bx+\"\r
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\n" ); document.write( "\n" ); document.write( "\"+f%28x%2Bh%29=%28x%2Bh%29%5E2%2B%28x%2Bh%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+f%28x%2Bh%29=x%5E2%2B2xh%2Bh%5E2%2Bx%2Bh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+f%28x%2Bh%29=x%5E2%2B2xh%2Bh%5E2%2Bx%2Bh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28x%5E2%2B2xh%2Bh%5E2%2Bx%2Bh-x%5E2-x%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28h%5E2%2B2xh%2Bh%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=cross%28h%29%28h%2B2x%2B1%29%2Fcross%28h%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=h%2B2x%2B1\"\r
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\n" ); document.write( "\n" ); document.write( "c. \"+f%28x%29=x%5E3+\"\r
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\n" ); document.write( "\n" ); document.write( "\"+f%28x%2Bh%29+=%28x%2Bh%29%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "\"+f%28x%2Bh%29+=h%5E3%2B3xh%5E2%2B3hx%5E2%2Bx%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28%28h%5E3%2B3xh%5E2%2B3hx%5E2%2Bx%5E3%29-x%5E3%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28h%5E3%2B3xh%5E2%2B3hx%5E2%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=cross%28h%29%28h%5E2%2B3xh%2B3x%5E2%29%2Fcross%28h%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=h%5E2%2B3xh%2B3x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "d. \"+f%28x%29=1%2Fx+\"\r
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\n" ); document.write( "\n" ); document.write( "\"+f%28x%2Bh%29=1%2F%28x%2Bh%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%281%2F%28x%2Bh%29-1%2Fx%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28x%2Fx%28x%2Bh%29-%28x%2Bh%29%2Fx%28x%2Bh%29%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28x-%28x%2Bh%29%29%2F%28hx%28x%2Bh%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=-1%2F%28x%28x%2Bh%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "e. \"+f%28x%29=+sqrt%28x%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"+f%28x%2Bh%29=sqrt%28x%2Bh%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=%28sqrt%28x%2Bh%29-sqrt%28x%29%29%2Fh\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh+=sqrt%28x%2Bh%29%2Fh-sqrt%28x%29%2Fh\"\r
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