question attached below

Answer:
B . [tex]f(x+h)=\frac{x+h}{1+x+h}[/tex]
Step-by-step explanation:
Given function is:
[tex]f(x)=\frac{x}{1+x}[/tex]
Sall h is used to denote minor change in function. The value of the new function f(x+h) will be calculated by putting x+h in place of x in the function.
So putting x+h in place of x
[tex]f(x+h)= \frac{x+h}{1+(x+h)}\\=\frac{x+h}{1+x+h}[/tex]
So, option B is the correct answer ..