f(x+h) = [tex]\frac{x^{2}+2xh+h^{2} }{x+h+3}[/tex]
Step-by-step explanation:
Given,
f(x) = [tex]\frac{x^{2} }{x+3}[/tex]
To find the value of f(x+h) we need to replace x by x+h
Hence,
f(x+h) = [tex]\frac{(x+h)^{2} }{x+h+3}[/tex]
= [tex]\frac{x^{2}+2xh+h^{2} }{x+h+3}[/tex]
[Here, we apply the formula of [tex](a+b)^{2}= a^{2} +2ab+ b^{2}[/tex]]
