Question

HELPPPP!!!!
Select the correct answer.

Answer 1

Answer:

A. $\frac{x^{2} +h^{2} +2hx }{x+3+h}$

Step-by-step explanation:

To find f(x+h) you just need to plug in x+h for every value of x

so the new equation would be

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

Answer 2

For this case we have the following function:

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

We must find $f (x + h)$, then substituting we have:

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

By definition we have to:$(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2$

So:

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

Answer:

Option A