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)![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " \n" ); document.write( " |