consider the following functions

I have attached a screen shot of my problem as that was easier than typing it out.

Apologies if this is posted in the wrong section, i have to do this problem by Thursday and to be honest i don't really have a clue but its important i get this right. anyway ill take a stab at it and hopefully some more experienced people can set me right.

so for the first part with the graph i need to get f(x) = g(x)

which would look something like this

f(x)=x^{2}-1

g(x)=x+1

f(x) = g(x)

x^{2}-1=x+1

(x+1)-(x^{2}-1)=o

(x+1)-x^{2}+1=0

-x^{2}+x+2=0

S0 from here i need to get some co-ordinates from the above equation so i can use to draw a line on the graph?? i think, im not really sure where to go from here....and my maths may even be way off here like i said im unsure

moving on to next section

compute the following values:

f(2)

g(0)

f(2/3)

f(2)=(2)^{2}-1 = 4-1=3

g(0)=(0) +1=1

f(2 over 3)= (2 over 3)^{2+1= ?? }

i think the first two may be right not sure what to do with fraction in last one.

as for the last section

f dot g (x) = f(x+1)=(x+1)^{2}-1

g dot f (x) = g(x^{2}-1) = (x^{2}-1)+1

f dot (x) = f(x^{2}-1) = (x^{2}-1)^{2}-1

g dot g(x) = g(x+1)=(x+1) + 1

again i think im right here? could some one confirm if i am or not

I realize this is a long post i just want to thank anyone in advance who can lend me their expertise!