A rational function can have a variable like "x" in the numerator AND the denominator. When this happens, there are some special rules and properties to consider.

How many real values of \(x\) satisfy the above equation?

What is the nearest integer value of \[y=\frac{6x-23}{x-5}\] when \(x=10000\)?

\(f\) and \(g\) are functions defined as \(f(x)= 5x + \frac{6}{2x-2}\) and \(g(x) = \frac{4x}{3x-2}\). What is the value of \(\left(f\circ g\right)(4)\)?

Note: \(f \circ g\) denotes the composition of the 2 functions.

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