JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

If [.] denotes the greatest integer function, then the domain of the function

f(x)=\frac{1}{\sqrt{|[|x|-1]|-5}}

View answer and explanation

Correct option: B

(-\infty,-7] \cup[7, \infty)

Option B

((-\infty,-7] \cup[7, \infty))

is correct because it represents the values of x for which the expression inside the square root is positive.

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

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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\}