# If X ≠ 1 and F ( X ) = X + 1 X − 1 is a Real Function, Then F(F(F(2))) Is(A) 1 (B) 2 (C) 3 (D) 4 - Mathematics

MCQ

If x ≠ 1 and $f\left( x \right) = \frac{x + 1}{x - 1}$ is a real function, then f(f(f(2))) is

• (a) 1

• (b) 2

• (c) 3

• (d) 4

#### Solution

(c) 3 $f\left( x \right) = \frac{x + 1}{x - 1}$ $f(f(f(2)))$
$= f\left( f\left( \frac{2 + 1}{2 - 1} \right) \right)$
$= f\left( f(3) \right)$
$= f\left( \frac{3 + 1}{3 - 1} \right)$
$= f(2) = 3$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 3 Functions
Q 17 | Page 43