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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions2 Marks
MCQ
If $f(x)=\frac{x-1}{x+1}$, then $f\left(\frac{1}{f(x)}\right)$ equals
  • A
    $0$
  • B
    1
  • C
    x
  • ✓
    $\frac{1}{2}$
✓

Answer

Correct option: D.
$\frac{1}{2}$
(D)
$f (x)=\frac{x-1}{x+1}$
$\Rightarrow f \left(\frac{1}{ f (x)}\right)= f \left(\frac{x+1}{x-1}\right)=\frac{\frac{x+1}{x-1}-1}{\frac{x+1}{x-1}+1}=\frac{1}{x}$

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