Question

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

Answer 1

`f(x+h)=(x^2+2h+h^2)/(x+h+3)`

Explanation:

we have

`f(x)=(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)=((x+h)^2)/((x+h)+3)`

`f(x+h)=(x^2+2h+h^2)/(x+h+3)`