JEE MATHEMATICS MCQ: FUNCTIONS

1 Medium

1 of 1

Analyzing +4 | -1

f(x)=\frac{x}{x-1}, x \neq 1

, then

\underbrace{(f \circ f o \ldots o f)}_{19 \text { times }}(x)

is equal to

View answer and explanation

Correct option: A

\frac{x}{x-1}

Option A (

\frac{{x}}{{x-1}}

) is correct because the function composed with itself twice returns the original input, so composing it an odd number of times is equivalent to the original function.

More Questions from FUNCTIONS

Practice All Chapter MCQs →

f:(-\infty, 2] \longrightarrow(-\infty, 4]

, where

f(x)=x(4-x)

, then

f^{-1}(x)

is given by: If

g(f(x))=|\sin x|

and

f(g(x))=(\sin \sqrt{x})^2

, then Let

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

be defined by

f\left( x \right) = x - \left[ x \right]

, then

{f^{ - 1}}\left( x \right)

equals Let

f: R \rightarrow R

be defined as

f(x)=x^4

, Choose the correct answer. Which of the following functions are odd functions Let

f(x)=(x+1)^2-1(x \geq-1)

. Then the set

S=\left\{x: f(x)=f^{-1}(x)\right\}

contains