Solve the question below.
Let f(x)=x^2+3 and g(x)=x+2/x. Find (f o g)(2).
When you get your answer, could you please show me the steps? Thank you.

Question

Solve the question below. 
Let f(x)=x^2+3 and g(x)=x+2/x. Find (f o g)(2). 
When you get your answer, could you please show me the steps?  Thank you.

anonymous · Answer

Here are my possible answers. 
A. 9
B. 9/7
C. 7
D. 14

mathmale · Answer

Lala:  so that I know where you're coming from, please share what you know of that operator  o  as in (f o g)(2).

anonymous · Answer

f(g(x))

anonymous · Answer

@mathmale f(g(x))

anonymous · Answer

For composite functions, I teach my student to write the OUTSIDE FUNCTION except where there is an X put a set of parenthesis.
$$\left(          \right)^{2}+3$$

The next step is to put the INSIDE FUNCTION inside the parenthesis
$$\left( \frac{ x+2 }{x } \right)^{2}+3$$

This is your new COMPOSITE FUNCTION.

Now substitute 2 in for X and you will get your answer.

anonymous · Answer

$$( )^2 +3 $$
$$(x+2/x)^2 + 3$$
$$16/4 + 3$$
$$4+3=7$$

anonymous · Answer

Yes, that is your answer.

anonymous · Answer

@hullsnipe Thank you! Your steps were so easy to follow.  I have another question coming up, could you also help me with that one?