Can someone help me & check my work with function inverses and composition below? fan and medal. c:

Question

anonymous · Answer

attachment

loser66 · Answer

yup for all

anonymous · Answer

Awesome, thanks! Can you help me finish questions B and C? I'm not sure how to complete them. As you can see, I've graphed B already, but I'm not sure how to finished answering B and how to start answering C. @Loser66

loser66 · Answer

g, g^- symmetric about y =x, that shows they are inverse of each other

loser66 · Answer

the graph of g^- shows it is a line and a line is a function. (past vertical test)

loser66 · Answer

part c)
$g^{-}(g(x)) = x$

loser66 · Answer

just replace g(x) into g^- where you see x, then you can verify that expression

anonymous · Answer

Okay! How would I plug the two function together? Like this?
$$g^-(x)=3(\frac{ 1 }{ 3 }-2)+2$$

@Loser66

anonymous · Answer

@midhun.madhu1987 
hi! sorry to bother you, but would you mind checking if i did the function composition correctly up in the above comment ^^^^^^^ ?