Explain why the function

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

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

, defined for all real

x\neq1

, does not attain the value

2

even though

q(x)

simplifies to

x+1

. State the range of

q