Back to FUNCTIONS

JEE MATHEMATICS MCQ: FUNCTIONS

1 Medium

1 of 1

Application +4 | -1

Let

f: R \rightarrow R

be defined by

f(x)=2 x+|x|

, then

f(2 x)+f(-x)-f(x)=

View answer and explanation

Correct option: B

2|x|

Option B (

2|x|

) is correct because substituting the given function

f(x)=2 x+|x|

into the expression

f(2 x)+f(-x)-f(x)

and simplifying results in

2|x|

.

More Questions from FUNCTIONS

Practice All Chapter MCQs →

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

f(x)=x(4-x)

f^{-1}(x)

is given by: If

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

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

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

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

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

f: R \rightarrow R

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)

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