Let with domain (so that is one–one)

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let f(x)=x−1x+2f(x)=\dfrac{x-1}{x+2} with domain (−2,∞)(-2,\infty) (so that ff is one–one). Which of the following is the domain of f−1f^{-1}? (a) (1,∞)(1,\infty) (b) (−∞,1)∖{0}(-\infty,1)\setminus\{0\} (c) (−∞,1)(-\infty,1) (d) (−∞,0)(-\infty,0)

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