Question

If f(x)=2x² +5√(x-2), complete the following statement:

Answer 1

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

How to determine the domain of a function with radical components

Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all real numbers, whereas the domain of radical functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the radical component and defined by x ≥ 2.

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

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