QuestionFind the composite function of the given functions: , . Calculate .
Studdy Solution
STEP 1
Assumptions1. We have two functions, and .
. The function is defined as .
3. The function is defined as .
4. We need to find the composite function .
STEP 2
The composite function is defined as . This means that we substitute into .
STEP 3
Substitute into .
STEP 4
Now, replace in with .
STEP 5
To simplify the expression, we can multiply the numerator and the denominator of the fraction by .
f\left(\frac{5}{x}\right) = \frac{4 \cdotx}{5 -2 \cdotx}
STEP 6
implify the expression to get the final form of the composite function .
So, the composite function is .
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