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Explain what the term inverse means with respect to a quadratic function. How are the domain and range of a quadratic function related to the domain and range of its inverse?

User Crerem
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Final answer:

The term inverse, concerning a quadratic function, refers to the function that undoes or reverses the effect of the quadratic function.

Step-by-step explanation:

The term inverse, concerning a quadratic function, refers to the function that undoes or reverses the effect of the quadratic function. The inverse of a quadratic function is typically a square root function or a rational function.

The domain of a quadratic function is the set of all real numbers, while the range depends on the coefficient of the quadratic term. If the coefficient is positive, then the range is greater than or equal to the vertex value. If the coefficient is negative, then the range is less than or equal to the vertex value. The inverse of a quadratic function swaps the roles of the domain and the range. Therefore, the domain of the inverse is the range of the original quadratic function, and the range of the inverse is the domain of the original quadratic function.

User Gari Singh
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