Question

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

Answer 1

$f(x)=\dfrac{3x+5}{x}\\\\f(a+2)-\text{substitute x = a + 2 to the equation of a function f}\\\\f(a+2)=\dfrac{3(a+2)+5}{a+2}\\\\\text{use distributive property}\\\\=\dfrac{(3)(a)+(3)(2)+5}{a+2}=\dfrac{3a+6+5}{a+2}=\dfrac{3a+11}{a+2}\\\\Answer:\ f(a+2)=\dfrac{3a+11}{a+2}$

Answer 2

The value of f(a+2) is $\frac{3a+11}{a+2}$

What is function ?

A relation between a set of inputs & their outputs is called function, where each input has its own output. A function always have a domain & a co-domain. A function is generally denoted by f(x), where x is the input.

What is the required function ?

Given function, f(x) = $\frac{3x+5}{x}$

To find the value of f(a+2), we have to substitute the value of x by (a+2) in the function f.

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

Now, we have to use distributive law of multiplication over addition,

f(a+2) = $\frac{3a+6+5}{a+2}$

⇒ f(a+2) = $\frac{3a+11}{a+2}$

Learn more about function here :

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