Question

HELPPPP!!!!
Select the correct answer.

Answer 1

A.
`(x^(2) +h^(2) +2hx )/(x+3+h)`

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

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