Relations and Functions
NCERT Class 12
CBSE
Grade 12
Question:
If $f(x) = \dfrac{x}{x - 1}$, $x
eq 1$, then $(f \circ f)(x)$ is:
(a) $x$
(b) $-x$
(c) $\dfrac{1}{x}$
(d) $x^2$
Step-by-Step Solution
$f(f(x)) = \dfrac{x}{x - (x - 1)} = x$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating composition $= x$: 1.0 Mark
Correct Answer: $x$
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