Need help with part c

[slim shore]

ig first two options are cleared right? since function is neither injective nor surjective

[fiery flax]

ye

[slim shore]

and b being bijective

[fiery flax]

Its just the last part i am unsue of

[slim shore]

so A U B = (0,1) - {0.5}

so in [0,1], the only values not in domain are 0, 0.5, 1

also, f(x) inverse is arcsin x

whose domain is only [-1,1] and range [-pi/2,pi/2]

[fiery flax]

So is the answer f-1(AUB) = f-1( (0,1) \ 0.5) ) = (0,pi/6) U (pi/6, pi/2)

[slim shore]

i hope, cz if its about inverse of sine function, then ye, it should be

[fiery flax]

okay

thank you

[stoic breach]

!done