Question

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

Answer 1

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

Answer 2

Answer:

The value of $f(a+2)$ is $3a+21+\frac{4}{a+2}$.

Step-by-step explanation:

Consider the provided function $f(x)=3(x+5)+\frac{4}{x}$

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

Substitute x = a + 2 in the provided function.

$f(a+2)=3((a+2)+5)+\frac{4}{a+2}$

$f(a+2)=3(a+2+5)+\frac{4}{a+2}$

$f(a+2)=3(a+7)+\frac{4}{a+2}$

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

$f(a+2)=3a+21+\frac{4}{a+2}$

Therefore, the value of $f(a+2)$ is $3a+21+\frac{4}{a+2}$.