Question

Question 14. Select the correct answer. If f(x)=x^2/x+3, find f(x+h)

Answer 1

Answer:

$f(x+h)=\frac{x^2+2h+h^2}{x+h+3}$

Step-by-step explanation:

we have

$f(x)=\frac{x^2}{x+3}$

To find out f(x+h), substitute the variable x by the variable (x+h) in the function f(x)

so      

$f(x+h)=\frac{(x+h)^2}{(x+h)+3}$

$f(x+h)=\frac{x^2+2h+h^2}{x+h+3}$