Question 64829
IF f(x)=x^2+5,FIND f(a+h)-f(a)
{{{f(a+h)=(a+h)^2+5}}}---> {{{f(a+h)=(a+h)(a+h)+5}}}--->{{{f(a+h)=a^2+ah+ah+h^2+5}}}---> {{{f(a+h)=a^2+2ah+h^2+5}}}
{{{f(a)=a^2+5}}}
Therefore {{{f(a+h)-f(a)=(a^2+2ah+h^2+5)-(a^2+5)}}}
{{{highlight(f(a+h)=2ah+h^2)}}}
Happy Calculating!!!!