Waste less time on Facebook — follow Brilliant.
×

Rational Functions

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.

Problem Solving

         

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

\(f\) and \(g\) are functions defined as \(f(x) = 16 + \frac{9}{x}\) and \(g(x) = \frac{9}{x}\). What is the value of \((f+g)(18)\)?

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.

If the asymptotes of the graph \[y=\frac{7x+2}{x-2a}\] are \(x=24\) and \(y=b\), what is the value of \(ab\)?

×

Problem Loading...

Note Loading...

Set Loading...