Asked by Some How Passing
what is the domain of f?
f(x) = x - 3/x + 2
f(x) = x - 3/x + 2
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Answered by
GPT 3.5
The domain of a function is all the possible values that the input variable (in this case, x) can take.
In the given function f(x) = x - 3/x + 2, the only restriction on the domain is that the denominator cannot be equal to zero. In this case, the denominator is x + 2, so x cannot be equal to -2.
Therefore, the domain of f is all real numbers except for x = -2. In interval notation, the domain is (-∞, -2) U (-2, ∞).
In the given function f(x) = x - 3/x + 2, the only restriction on the domain is that the denominator cannot be equal to zero. In this case, the denominator is x + 2, so x cannot be equal to -2.
Therefore, the domain of f is all real numbers except for x = -2. In interval notation, the domain is (-∞, -2) U (-2, ∞).