JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

The domain of definition of the function

f\left( x \right) = \sqrt {{{\log }_{10}}\left( {\frac{{5x - {x^2}}}{4}} \right)}

View answer and explanation

Correct option: A

\left[ {1,\mathrm{ }4} \right]

Option A ([1, 4]) is correct because it satisfies the conditions for the logarithm and the square root to be defined.

More Questions from FUNCTIONS

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

f(x)=x(4-x)

f^{-1}(x)

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

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

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