Function f : R rarr R f(x) = 3 x -5 is...

Function f : R `rarr R ` f(x) = 3 x -5 is

A

One - one only

B

Onto only

C

One -one and onto

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

C

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

PROBABILITY
ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -B)|6 Videos
PROBABILITY
ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -C )|8 Videos
PROBABILITY
ACCURATE PUBLICATION|Exercise Questions Carrying Type - 4 marks|42 Videos
MATRICES
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |4 Videos
RELATION AND FUNCTIONS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|11 Videos

Similar Questions

Explore conceptually related problems

Let the function f : R rarr R f(x) = {:{(1,if x is a rational)(-1, if x is irrational):}} be many one into Then f(1/2) is equal to

Let R be the set of real numbers. Define a real function f : R rarr R by f (x) =x + 10 . Sketch the graph of this function.

True or False statements : The function f : R rarr R defined by f(x) = 3x - 2 is a bijection.

Show that the function f : R rarr R given by f(x) =x^2 is injective.

Prove that the function f: R rarr R given by: f(x) = 2x is one-one and onto.

If the function f:R rarr R defined by f(x) = 3x – 4 is invertible, find f^(-1)

Show that the function f: R rarr R defined by f(x) = (3x-1)/2, x in R is one-one and onto function.

Prove that the function f: R rarr R defined by f(x) = 2x + 5 is one-one.

Show that the function f : R rarr R given by f (x) = x^3 is injective.

Show. that the function f: R rarr R defined by f(x)= (3x-1)/3, x inR is one-one and onto function.

ACCURATE PUBLICATION-PROBABILITY -SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -A)

Function f : R rarr R f(x) = 3 x -5 is
02:51
|
Relation given by R={(1,1),(2,2),(1,2),(2,1)} in the set A={1,2} is :
02:15
|
cos^(-1)(-cos""(2pi)/(3)) is equal to :
02:06
|
If [[1,-x],[4,-3]] =[[1,8],[4,-3]] then value of x is :
01:13
|
If order of matrix A is 2 xx 3 and order of matrix B is 3 xx 5, then o...
01:29
|
If 'f(x)= {[Kx+1,xle5],[3x-5,x>5]:}' is continuous at x=5 then value o...
04:09
|
(d)/(dx){tan^(-1)(e^(x))} is equal to :
01:04
|
Slope of tangent to the curve 'y = x^2-2x+1' at x=3 is :
01:13
|
int3x^(2)dx is equal to :
01:04
|
int0^(pi/2) sin^(1/2x)/(sin^(1/2)x+cos^(1/2)x)dx is equal to :
03:11
|
Degree of differential equation (d^(2)y)/(dx^(2))-2(dy)/(dx)+3y=0 is :
01:09
|
If veca*vecb=|vecaxxvecb|, then angle between vector veca and vector v...
02:38
|
If veca.vecb=0 then angle between vector veca and vecb is:
01:10
|
Direction ratios of line given by line (x-1)/3=(2y+6)/12=(1-z)/-7 are...
01:59
|
Maximum value of Z=3x+y for the constraints x+yle4, xge0, yge0 is :
02:55
|
If P(A) = 1/2, P(B) = 3/8 and P(A nn B) = 1/5· then P(A/B) is equal to...
01:35
|
Value of sin^-1(1) is
01:00
|
If A=[a(ij)](2×3) such that a(ij)=i+j then a 11=
01:18
|
If |[x,0],[7,1]|=|[3,0],[7,1]| then x=
00:35
|
If 'y=cos x ' then at'x=0', 'dy/dx=..........'.
02:06
|