Okay, so I feel like I almost know how to do this problem, but than all the fancy terms make me confused. I attached a picture below so it's visible. It'd be great if someone could give me a step by step as I have to do a ton of these problems. Thanks!

Question

anonymous · Answer

attachment

anonymous · Answer

I get the concept of a problem like Find f(2) of etc etc... The (f o g) part is what's confusing for me

ganeshie8 · Answer

(f o g)(2)  is same as :

f( g(2) )

ganeshie8 · Answer

start by finding g(2) first

ganeshie8 · Answer

g(x) = 4x + 9
g(2) = ?

anonymous · Answer

g(2)=17 

Yay first part done

ganeshie8 · Answer

(f o g)(2)   

f( g(2) )

f( 17 )

ganeshie8 · Answer

now compute f(17),
then we will be done wid (f o g)(2) part fully :)

anonymous · Answer

Oh! Wait, do I put f(17) into the 1/x part?

ganeshie8 · Answer

yes !

ganeshie8 · Answer

put 17 in 1/x part

ganeshie8 · Answer

(f o g)(2)   

f( g(2) )

f( 17 )

1/17

ganeshie8 · Answer

^^

anonymous · Answer

Ah okay! So for when it says find (f+g)(2) I just take the two values I found and add them together?

ganeshie8 · Answer

(f+g)(2)

f(2) + g(2)

ganeshie8 · Answer

find f(2),
find g(2)

add them both

anonymous · Answer

Gotcha. You are a genius! Thanks :D

ganeshie8 · Answer

lol no, you're super smart :)

ganeshie8 · Answer

u wlc :)