Question

F(x)=2x^2 -5 , simplify f(x+h)/h , where h≠0

Answer 1

`\huge\boxed{(f(x+h))/(h)=(2x^2+4xh+2h^2-5)/(h)}`

`\huge\boxed{(f(x+h))/(h)=(2x^2-5)/(h)+4x+2h}`

Explanation:

`f(x)=2x^2-5\\\\(f(x+h))/(h)=(2(x+h)^2-5)/(h)=(2(x^2+2xh+h^2)-5)/(h)\\\\(f(x+h))/(h)=(2x^2+4xh+2h^2-5)/(h)\\\\h\\eq0`