On combining functions, and composite functions. How do I deriving, the domain, and range of such functions.
An example: \[f(x) = \sqrt{x - 1} \\ g(x) = 3x + 1\]
\[P(x) = \left(\dfrac{b}{g}\right)(x)\]

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I just noticed the numerator cannot be 1, or smaller as that would cause imaginary numbers.

Wait, it can be \(1\) since that just makes the numerator zero.

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