Question

If f(x) = x/1 + x , what is the value of f(x + h)

Answer 1

\[\frac{ x+h }{ 1-x-h}\]

Answer 2

\[f(\color{blue}{x}) = \dfrac{\color{blue}{x}}{1+\color{blue}{x}}\]

simply replace \(\color{blue}{x}\) by \(\color{blue}{x+h}\) everywhere
\[f(\color{blue}{x+h}) = ?\]

Answer 3

\[\frac{ x+h }{ 1+x+h }\]

Answer 4

thats it!