How do you find f(x+h) for the function #f(x)= x^2 - 2x + 5#?
1 Answer
Aug 6, 2016
see explanation.
Explanation:
To find f(x+h) substitute x = x + h into the function.
#f(color(red)(x+h))=(color(red)(x+h))^2-2(color(red)(x+h))+5# now distribute the brackets
#f(x+h)=x^2+2hx+h^2-2x-2h+5# which may be expressed as
#f(x+h)=x^2+2x(h-1)+h^2-2h+5#
