JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Understanding +4 | -1

Domain and range of

f(x)=\frac{|x-3|}{x-3}

are respectively

View answer and explanation

Correct option: B

R-\{3\},\{1,-1\}

Option B (

R - \\{3\\}, \\{1, -1\\}

) is correct because the domain excludes x=3 where the denominator is zero, and the range consists of 1 and -1 depending on the sign of (x-3).

More Questions from FUNCTIONS

Practice All Chapter MCQs →

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\}