QuestionFind the function for and .
Studdy Solution
STEP 1
Assumptions1. We are given two functions and .
. We are asked to find the product of these two functions, denoted as .
3. The domain of a function is the set of all possible input values (x-values) which will output real numbers.
STEP 2
The product of two functions and is defined as .
STEP 3
Substitute the given functions and into the equation from Step2.
STEP 4
To simplify the expression, we can multiply the numerators together and the denominators together.
STEP 5
Notice that the denominator can be rewritten as , which will help us simplify the expression further.
STEP 6
Now, we can cancel out the terms in the numerator and denominator.
STEP 7
Finally, we can simplify the expression by distributing the negative sign in the denominator.
So, .
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