JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

f(x)=\tan ^{-1}\left(\frac{3 x-x^3}{1-3 x^2}\right)

and

g(x)=\frac{\pi \sqrt{3}}{8}|x-\sqrt{3}|

, then number of real values satisfying the equation

f(x)-g(x)=0

View answer and explanation

Correct option: B

Option B (3) is correct because the number of real values satisfying the equation is found by determining the number of intersection points between the graphs of f(x) and g(x), which is 3.

More Questions from FUNCTIONS

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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