Respuesta :

xKelvin

Answer:

A

Step-by-step explanation:

So we have the function:

[tex]f(x)=\frac{3+x}{x-3}[/tex]

And we want to find:

[tex]f(a+2)[/tex]

To do so, substitute in (a+2) for x:

[tex]f(a+2)=\frac{3+(a+2)}{(a+2)-3}[/tex]

Simplify the numerator and denominator. Add 2 and 3 in the numerator. Subtract in the denominator:

[tex]f(a+2)=\frac{5+a}{a-1}[/tex]

The answer is A.

09pqr4sT

Answer:

[tex]\Large \boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x) = \frac{3+x}{x-3}[/tex]

For f(a + 2), the input for the function f(x) is (a + 2).

Replacing x with (a + 2).

[tex]\displaystyle f(a+2) = \frac{3+(a+2)}{(a+2)-3}[/tex]

Simplify the rational function.

[tex]\displaystyle f(a+2) = \frac{(3+2)+a}{a+(2-3)}[/tex]

[tex]\displaystyle f(a+2) = \frac{5+a}{a-1}[/tex]

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