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Oh yes I've looked into it your value for b is correct4) I wrote an 8 instead of 0 by mistake so I took the wrong values, yes your answer is correct.
7) I think I got it 54.8 roundings it to 3sf but I really don't remember tbh,
and I got b=2 View attachment 64678 If you actually try -4 you won't get y=0, I think you took 2/3pi which is wrong because your x value has to be on the negative side so you should take -pie/3 (you're not shifting it towards left or right )
8) for iv I confused somewhere I understood the range of f(x) has to be greater than 1 but I can't figure how to progress so please help
and 10)iii yes its (9/2, 15/2) sorry I messed up the order
For 8 iv) first see the domain of the inner function f(x) which is x<2 and then its range for this domain which is f(x)>3
Now the range of f will be domain of g and according to this domain the range of g(x) will be the range of gf(x). From here the answer 0<gfx<1 comes
But I was a bit confused as what to use as the domain of f(x). x<2 or x<1