Exams
Subjects
Classes
Home
Exams
Mathematics
types of functions
the domain of the functio...
Question:
medium
The domain of the function \[ f(x)=\sin^{-1}(\sqrt{x-1}) \] is:
Show Hint
Whenever inverse trigonometric functions and square roots appear together, solve both restrictions separately and then take their intersection.
COMEDK UGET - 2026
COMEDK UGET
Updated On:
May 16, 2026
$(-\infty,1]\cup[2,\infty)$
$[0,1]$
$[-1,1]$
$[1,2]$
Show Solution
The Correct Option is
D
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on types of functions
Let [x] be the greatest integer ≤ x. Then the number of points in the interval (-2,1), where the function f(x) = |[x] |+
\(\sqrt{x -[x] }\)
is discontinuous is _____.
JEE Main - 2023
Mathematics
types of functions
View Solution
Let [x] be the greatest integer ≤ x. Then the number of points in the interval (-2,1), where the function f(x)=|[x]|+√x−[x] is discontinuous is _____.
JEE Main - 2023
Mathematics
types of functions
View Solution
Let a∈ Z and [t] be the greatest integer t. Then the number of points, where the function f(x)=[a+13 sin x], x ∈ (0, π) is not differentiable, is ____
JEE Main - 2023
Mathematics
types of functions
View Solution
If the local maximum value of the function f( x )=
\((\frac{√3e}{2 sin x} )^{ sin^2x}\)
,
\( x ∈ ( 0,\frac{π}{2} )\)
, is
\(\frac{k}{e}\)
, then
\((\frac{k}{e})^8+\frac{k^8}{e^5}+k^8 \)
is equal to
JEE Main - 2023
Mathematics
types of functions
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in COMEDK UGET exam
The solution of \( (x+\log y)dy+ydx=0 \) when \( y(0)=1 \) is
COMEDK UGET - 2025
Differential equations
View Solution
The order of the differential equation \( \frac{d}{dz}\left[\left(\frac{dy}{dz}\right)^3\right]=0 \) is
COMEDK UGET - 2025
Order and Degree of Differential Equation
View Solution
Find the value of \( \displaystyle \lim_{h \to 0} \frac{(a+h)^2 \sin(a+h) - a^2 \sin a}{h} \)
COMEDK UGET - 2025
Derivatives
View Solution
\( 0.2 + 0.22 + 0.022 + \cdots \) up to \( n \) terms is equal to
COMEDK UGET - 2025
Sequence and series
View Solution
The solution set of the system of inequalities \( 5-4x \leq -7 \) or \( 5-4x \geq 7,\ x \in R \) is
COMEDK UGET - 2025
linear inequalities
View Solution