Are these questions done correctly?
1 answer:
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The domain of a(x) is all of R. The domain of b is the range where 
. We can calculate the composition boa by changing in the expression for b, every x with a(x). Hence, boa(x)=
=
. Again for a function with a root to be defined, we need that the expression under the square root has to be positive. Hence, 3x-3
0.Thus, the set where this holds is 
. This is also the domain of the function boa(x).