QuestionLet . Which of the following best describes its fundamental algebraic structure? composition: A composition of basic functions sum. A sum of basic functions product. A product of basic functions quotient. A quotient of basic functions where
Studdy Solution
STEP 1
1. The function is given.
2. We need to identify the fundamental algebraic structure of this function.
3. The options for the structure are composition, sum, product, or quotient of basic functions.
STEP 2
1. Identify the basic functions involved in .
2. Determine the algebraic operation that combines these basic functions.
3. Match the operation to one of the given options: composition, sum, product, or quotient.
STEP 3
Identify the basic functions involved in .
The function involves:
- The square root function, which can be represented as .
- The tangent function, which can be represented as .
STEP 4
Determine the algebraic operation that combines these basic functions.
The function is formed by applying the square root function to the result of the tangent function. This is a composition of functions.
STEP 5
Match the operation to one of the given options.
The operation is a composition of functions, which corresponds to the option "composition: A composition of basic functions".
The fundamental algebraic structure of is best described as a composition: of basic functions, where:
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