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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

Given

f\left( x \right) = {\log _{10}}\left( {\frac{{1 + x}}{{1 - x}}} \right)\;and\,g\left( x \right) = \frac{{3\;x + {x^3}}}{{1 + 3\;{x^2}}},

then

fog\;\left( x \right)

equals

View answer and explanation

Correct option: B

3\;f\left( x \right)

Option B (

\left[ {12,\;34} \right]

) is correct because it represents the range of the function

f(x)

over the interval

[2, 3]

.

More Questions from FUNCTIONS

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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\}