AP

MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Let

f(x)=\dfrac{x^{2}-1}{x+2}

and

g(x)=\dfrac{x-1}{x-2}

. (i) Find

\left(\dfrac{f}{g}\right)(x)

and simplify your answer. (ii) State the domain of the simplified function.