Answer:
<u>Option A </u>will be your answer
Step-by-step explanation:
hope it's helpful...
Step-by-step explanation below.
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).
<span>The solution to the problem is as follows:
tan (3x) = sin(3x) / cos(3x)
let u = cos(3x), du = -3 sin(3x)
Integrating -1/3 du / u = -1/3 ln (u) = -1/3 ln (abs (cos(3x)) + constant
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