Question

If f(x)=3(x+5)+4/x what is f ( a+2 )

Answer 1

`f(x)=3(x+5)+(4)/(x)\\\\f(a+2)\to\text{put x = a + 2 to the equation of the function f}\\\\f(a+2)=3(a+2+5)+(4)/(a+2)=3(a+7)+(4)/(a+2)`

Answer 2

The value of
`f(a+2)` is
`3a+21+(4)/(a+2)`.

Explanation:

Consider the provided function
`f(x)=3(x+5)+(4)/(x)`

In order to find the value of
`f(a+2)`

Substitute x = a + 2 in the provided function.

`f(a+2)=3((a+2)+5)+(4)/(a+2)`

`f(a+2)=3(a+2+5)+(4)/(a+2)`

`f(a+2)=3(a+7)+(4)/(a+2)`

Now, apply the distributive property:
`a(b+c)=ab+ac`

`f(a+2)=3a+21+(4)/(a+2)`

Therefore, the value of
`f(a+2)` is
`3a+21+(4)/(a+2)`.