Writing to Learn Let and

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

78. Writing to Learn Let

f(x)=1+1 /(x-1 / x)

and

g(x)=\left(x^{3}+x^{2}-x\right) /(x^{3}-x)

. Does

f=g

? Support your answer by making a comparative analysis of all of the features of

f

and

g

, including asymptotes, intercepts, and domain.