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Derivative of One Function w.r.t Another

Rational func...

Question

Rational function is defined as f(x)/g(x). In this expression domain of f(x) is set of real numbers. Is domain of g(x) also set of real numbers except zero?

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Solution

Here the domain of function is not taken in consideration. Really it is not compulsory to become the domain of denominator equal to domain of numerator except the denominator value becomes zero. Possible common values of domains of fx and gx will becomes the final domain of the fx÷gx. so here it is compulsory to have domain of denominator equals the real number except zero if the domain of total function fx÷gx is real numbers.otherwise not compulsory.

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