If f : R rarr R be defined by f(x) = 1/(...

If `f : R rarr R` be defined by `f(x) = 1/(x) , AA x in R` . Then , f is .........

A

one-one

B

onto

C

bijective

D

f is not defined

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|5 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/ False)|10 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|30 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If f : R rarr R be the function defined by f(x) = sin (3x +2) AA x in R . Then , f is invertible .

Let f : R rarr R be the function defined by f(x) = 1/(2-cosx),AA x inR . Then , find the range of f .

Let the function f : R rarr R be defined by f(x) = cos x , AA x in R . Show that f is nether one - one nor onto .

If f,g : R rarr R be defined by f(x) = 2x + 1 and g(x) =x^(2) -2 , AA x in R , respectively . Find gof .

Let A = R - {3} , B = R - {1} . If f : A rarr B be defined f(x) = (x-2)/(x-3) AAx inA . Then show that f is bijective.

If f: R rarrR is defined by f(x) =x^(2)-3x+2 , find f(f(x)).

Let f : R rarr R be the function defined by f(x) = 2x - 2 , AA x in R . Write f^(-1) .

Show f:R rarr R defined by f(x)=x^(2)+4x+5 is into

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Solutions of NCERT Exemplar Problems (Objective type Questions)

Let T be set of all triangle in the Euclidean plane , and let a relati...
Text Solution
|
Consider the non-empty set consisting of children in a family and a re...
Text Solution
|
The maximum number of equivalence relations on the set A = {1,2,3} ar...
Text Solution
|
If the relation R on the set {1,2,3} be defined by R = {(1,2)}. Then...
Text Solution
|
Let us define a relation R in R as aRb if a geb . Then, R is .......
Text Solution
|
If A = {1,2,3} and consider the relation R = {(1,1), (2,2) , (3,3) , ...
Text Solution
|
The identity element for the binary operation ** defined on Q ~ {0} a...
Text Solution
|
If the set A contains 5 elements and the set B contains 6 elements , t...
Text Solution
|
If A= {1,2,3...,n} and B ={ a,b} Then , the number of subjection fr...
Text Solution
|
If f : R rarr R be defined by f(x) = 1/(x) , AA x in R . Then , f is ...
Text Solution
|
Let f: R rarr R be defined by f(x) = 3x^(2) - 5 and g : R rarr R, g(x...
Text Solution
|
Which of the following functions from Z into Z are bijections ?
Text Solution
|
If f : RrarrR be the functions defined by f(x) = x^(3) + 5 , then f^...
Text Solution
|
If f : A rarr B and g : B rarr C be the bijective functions , then (go...
Text Solution
|
If f:R-{3/5} rarr R be defined by f(x) = (3x+2)/(5x-3) , then ..........
Text Solution
|
If f:[0,1] rarr [0,1] be difined by f(x) = {(x," if x is rational"),...
Text Solution
|
If f: [(2,oo) rarr R be the function defined by f(x) =x^(2) - 4x +5, t...
Text Solution
|
If f: N rarr R be the function defined by f(x) = (2x-1)/2 and g : Q ra...
Text Solution
|
f : R rarr R , f(x) ={{:(2x,xgt3),(x^2,1ltxle3),(3x,xle1):} then find...
Text Solution
|
If f : R rarr R be given by f(x) = tan x , then f^(-1)(1) is .......
Text Solution
|