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Find the domain of the function: f(x)=5−x+x3.

Question

Find the domain of the function: f(x)=5−x+x3.

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Solution

The domain of a function is the set of all possible input values (often denoted as 'x' values) which will make the function 'work', and will output real numbers.

The function given is f(x) = 5 - x + x^3.

This is a polynomial function. Polynomial functions are defined for all real numbers. This means you can put any real number into the function and it will give a real number output.

Therefore, the domain of the function f(x) = 5 - x + x^3 is all real numbers. In interval notation, this is (-∞, ∞).

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