Answer:
[tex]f(x+h)=\frac{x^2+2h+h^2}{x+h+3}[/tex]
Step-by-step explanation:
we have
[tex]f(x)=\frac{x^2}{x+3}[/tex]
To find out f(x+h), substitute the variable x by the variable (x+h) in the function f(x)
so
[tex]f(x+h)=\frac{(x+h)^2}{(x+h)+3}[/tex]
[tex]f(x+h)=\frac{x^2+2h+h^2}{x+h+3}[/tex]
