Question

If \(f:\mathbb R\to\mathbb R\) is defined by \[ f(x)=|x| \] and \(A=(0,1)\), then \(f^{-1}(A)\) is:

• A. \((0,1)\)
• B. \((-1,1)\)
• C. \((-1,0)\)
• D. \(\phi\)

Hint:

To find the pre-image, convert the condition on \(f(x)\) directly into a condition on \(x\).

Answer 1

The Correct Option is B