>
Exams
>
Mathematics
>
Domain of a Function
>
let a x x r x is not a positive integer define f a
Question:
Let A = { x : x ∈ R; x is not a positive integer } Define f : A → R as f(x) =
\(\frac{2x}{x-1}\)
, then f is
KCET - 2021
KCET
Updated On:
Apr 17, 2024
injective but not surjective
surjective but not injective
bijective
neither injective nor surjective
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
The correct answer is () :
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Domain of a Function
The trigonometric function y = tan x in the II quadrant
KCET - 2022
Mathematics
Domain of a Function
View Solution
Domain of the function f(x) =
\(\frac{1}{\sqrt{[x]^2-[x]-6}}\)
where [x] is greatest integer ≤ x is
KCET - 2021
Mathematics
Domain of a Function
View Solution
The domain of the function defined by f(x) =
\(\cos^{-1}\sqrt{x-1}\)
is
KCET - 2020
Mathematics
Domain of a Function
View Solution
View All
Questions Asked in KCET exam
Ten identical cells each emf 2V and internal resistance 1Ω are connected in series with two cells wrongly connected. A resistor of 10Ω is connected to the combination. What is the current through the resistor?
KCET - 2023
Cells in Series and in Parallel
View Solution
The speed of sound in an ideal gas at a given temperature T is v. The rms speed of gas molecules at that temperature is v
rms
. The ratio of the velocities v and v
rms
for helium and oxygen gases are X and X' respectively. Then
\(\frac{X}{X'}\)
is equal to
KCET - 2023
Thermodynamics
View Solution
If
\(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\)
are in A.P., then p, q, r
KCET - 2023
Arithmetic Progression
View Solution
A stretched wire of a material whose Young's modulus Y = 2 × 10
11
Nm
-2
has Poisson's ratio of 0.25. Its lateral strain ε
l
= 10
-3
. The elastic energy density of the wire is
KCET - 2023
mechanical properties of solids
View Solution
A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field B
H
= 3 × 10
-5
T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms
-2
)
KCET - 2023
Faradays laws of induction
View Solution
View More Questions