Respuesta :

Answer:

B

Step-by-step explanation:

To find f(a+2),  we need to plug in "a+2" into x of the function given. Let's do this:

[tex]f(x)=3(x+5)+\frac{4}{x}\\f(a+2)=3((a+2)+5)+\frac{4}{(a+2)}\\f(a+2)=3(a+7)+\frac{4}{a+2}\\[/tex]

We can further simplify, but we already have our answer in form of the answer choices, answer choice B is right.

Answer: Option B

[tex]f(x) = 3(a +7)+\frac{4}{(a + 2)}[/tex]

Step-by-step explanation:

We have the following function

[tex]f(x) = 3(x+5)+\frac{4}{x}[/tex]

To find [tex]f (a + 2)[/tex] we must evaluate the function at [tex]x = (a + 2)[/tex]

Then we change the variable "x" to (a + 2)

[tex]f(x) = 3((a + 2)+5)+\frac{4}{(a + 2)}[/tex]

now simplify the expression

[tex]f(x) = 3(a +7)+\frac{4}{(a + 2)}[/tex]

Finally the answer is the option B