QuestionFind and its domain in interval notation, where and .
Studdy Solution
STEP 1
Assumptions1. The function is given by
. The function is given by
3. We are asked to find the composition of the functions and , denoted as
STEP 2
The composition of two functions, and , is defined as . This means that we substitute the function into the function .
STEP 3
Substitute into to get the composition of the functions.
STEP 4
Now, substitute the given function into the expression.
STEP 5
To simplify this expression, we can multiply the numerator and the denominator by to get rid of the complex fraction.
STEP 6
implify the denominator.
STEP 7
implify the expression further.
This is the composition of the functions and , .
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