document.write( "Question 1044841: please help me solve this equation. Find f(x + h) when f(x) = -3x+5 over 7x+4 \n" ); document.write( "
Algebra.Com's Answer #660238 by Boreal(15235)\"\" \"About 
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f(x+h)=-3(x+h)+5/7(x+h)+4
\n" ); document.write( "That is -3x-3h+5/(7x+7h+4)
\n" ); document.write( "If they want f(x+h)-f(x)
\n" ); document.write( "-3x-3h+5/(7x+7h+4)-(-3x+5)/(7x+4); common denominator is (7x+7h+4)(7x+4)
\n" ); document.write( "The numerator is (-3x-3h+5)(7x+4)-(-3x+5)(7x+7h+4)
\n" ); document.write( "=-21x^2-12x-21xh-12h+35x+20-(-21x^2-21xh-12x+35x+35h+20)
\n" ); document.write( "=-21x^2-12x-21xh-12h+35x+20+21x^2+21xh+12x-35x-35h-20
\n" ); document.write( "=-47/[7(x+h)+4](7x+4)
\n" ); document.write( "=-47/(7x+4)^2 as h approaches 0. This is the derivative.
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