State whether the function is a polynomial, a rational function (but not a polynomial), or neither a polynomial nor a rational function. If the function is a polynomial, give the degree. $$g(x)=\frac{1}{x}$$.
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Is the function a polynomial? No, because a polynomial is a function of the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where n is a non-negative integer and a_n, a_{n-1}, ..., a_1, a_0 are constants. The function g(x) = 1/x does not have this form, so Show more…
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