Respuesta :

Catya
f(a+2) means everywhere you see an x in f(x) you put (a+2). Now, I'm assuming that since there's no parenthesis.. 3x is not part if the fraction. If it is then the answer will not be the same.

f(a+2) = 3(a+2) + 5/(a+2)
= 3a + 6 + 5/(a+2)

Answer: [tex]\text{f(a+2)}=3a+6+\dfrac{5}{a+2}[/tex]

Step-by-step explanation:

The given function: [tex]f(x)=3x+\dfrac{5}{x}[/tex]

To find the value of [tex]\text{f(a+2)}[/tex], we need to replace the value of x by a+2, we get

[tex]f(x)=3(a+2)+\dfrac{5}{a+2}\\\\\Rightarrow\ \text{f(a+2)}=3a+6+\dfrac{5}{a+2}[/tex]

Hence, the value of  [tex]\text{f(a+2)}[/tex] is given by :_

[tex]\text{f(a+2)}=3a+6+\dfrac{5}{a+2}[/tex]