JEE MATHEMATICS MCQ: FUNCTIONS

1 Medium

1 of 1

Analyzing +4 | -1

Consider a function

f: N \rightarrow R

, satisfying

f(1)+2 f(2)+3 f(3)+\ldots . x f(x)=x(x+1) f(x) ; x \geq 2

with

f(1)=1

. Then

\frac{1}{f(2022)}+\frac{1}{f(2028)}

is equal to

View answer and explanation

Correct option: C

8100

Option C (8100) is correct because the value is obtained by correctly solving the recurrence relation and substituting the value in the required expression.

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