Find and simplify the expression if fxx22 f4 hf4 f4 hf4 Sol

Find and simplify the expression if f(x)=x2-2. f(4+ h)-f(4) f(4 + h)-f(4)-

Solution

Consider the function

Consider, f(x)= x^2-2

Now , f(4+h)-f(4)=(4+h)^2-2-(4)^2+2

=16+h^2+8h-2-16+2

   =h^2+8h