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find domain and range of function f= {(x, 1/1-x

^{2}):x belongs to R?In signum and greatest integer function, why does the line starts with a large dot???????

n(A)=p and N(B) = q.

Where can I find solutions to R.D.Sharma Maths book ,class XI without registering for it?

^{2})find the domain and range of

f(x)=x square/1+x square

graph of f ( x) .

Write domain and range of greatest integer function

1)Find P

2)Write down Domain and range of R

3)How many possible relations from P to P

^{2}-x+1/x^{2}+x+1 find domain and rangeexplain too

thanks !

find domain and range:

f(x) = 1/2-sin 3x

(a) Write the domain and range of f(x)

(b) Define the function f(x)

f(x)=|x-4|/x-4

if f:(-∞,-1]→(0,e^5] defined by f(x)=e

^{(x^3-3x+2) }is- one-one,onto
- many-one,onto
- one-one,into
- many-one,into

give answer with explanationfind the domain and range of 3/2-x^2

find domain and range

f(X)=1/{sqrt(5)-x}

If f(0) = 101, then find the minimum possible no. of values of x satisfying f(x) = 101 for x belonging to [0,30].

The correct answer is 11.

how can you find the range and domain of root of

^{}(9-x^{2})?THE CARTESIAN PRODUCT P*P Has 9 ELEMENTS WHICH ARE FOUND (-a,o) &(o,a). A RELATION FROM P TO P IS DEFINED AS

R={(X,Y) : X+Y=O} 1)- FIND P?

^{y}.3^{2}.(3^{-y})^{-1}-27^{y }/ 3^{3x} .2^{3}=1/27 then x-y is given by : (A) -1 (B) 1 (C)0 (D) Nonef(x)=3/(2-x^2) find the range and domain of the function

^{2})please do answer

find the domain and range of

a) identity function

b)constant function

c)polynomial function

d)rational function

e)modulus function

f)signum function

g) greatest integer function

by using properties prove that

(i) a U b = a intersection b imlies a=b

(ii) for any sets a and b show that p(a intersection b) = p(a) itersection p (b)

(iii) if a,b And c be the sets such that aUb = aUc and a intersection b = a itersection c show that b = c

(iv) a intersection (aUb) = a and aU(a intersection b) = a

find the domain and range of the function f(x)=x-3/2x+1.

Find the domain and range of f(x)=1/x-3.

Iam quite confident about the domain so please tell me the range!!!!!!.

if a set A={1,2,3,4,}...what is AxA

If f(x)=1/1-x,show that f[f{f(x)}]=x

A a=root3

B a=3

C b=3

D b=root2

find the domain and range of

f(x) = root ( (x -3 ) (4-x)

Show that 4sin(alpha).sin(alpha + pi/3) sin(alpha + 2pi/3) = sin3alpha.

let 'R' be the relation on the set N of natural numbers defined by R = {(a,b):a,b is an element of N , a+3b=12}

Find : (1) R

(2) the domain of R

(3) the range of R

If f(x)=cos (log x ) then f(x) f (y)-1/2 {f(x/y)+f(xy)} then what is the value of this

find domain and range of (x

^{2}-9)/x-3find the range of

f(x) = x

^{2}+2x+1/x^{2}-8x+12If f(x)=

x^{2}-3x+4,then find the values of x satisfying the equation f(2x+1)._{2}(log_{2}x) + log_{1/2}(log_{2 }2sq.root2x)=1let f =

( x, x: x belongs to R be a function .Determine domain and range of the function.^{2}/1+x^{2})please fast

(1) 3

^{210}(2) 7

^{140}(3) 17

^{105}(4) 3184

( How To Do This Type Of Numericals ?? )find domain and range of f(x)= square root of (x - 1)(3 - x)

1.A relation R is defined on the set Z of integers as follows:

(x,y)âˆˆR iff x

^{2}+ y^{2 }= 25.Express R and R-1 as the set of odered pairsand hence find the respective domains.

2.Let f :

Râ†’R. be defined as { 2x+1, x<= 4 Show that f is not a functionx+1 , x>=4 }

if A and B are two sets having 3 elements in common. if n(A)=5, n(B)=4, find n(A*B) and n[(A*B) intersection (B*A)].

For any three sets A, B, C, prove that :

(i) AX(B intersection C) = (AXB) intersection (AXC)

What is modulus function?

^{2}- 6x +[x] +7 =0 where [ ] represents greatest integer functionIf sin A= 1/ root (10) sin B= 1/root (5) ( A, B and A+ B being positive acute angles, show that A+B= pie/4.

29.If f be a function defined as f(x)=x for each x belongs to R, then f is called

i)Constant function

ii)Identity function

iii)Modulus function

iv)Signum function

fhow to find the domain and range of root of x

^{2 }-4find the domain and range of the function f(x)=1/root 16-x*x

find the domain and range of

i)f(x) = root(x2-9)

ii)f(x) =(2x-1)2+3

iii) f(x) = 5-(x+1)2

iv) f(x) = 1/(x-1)

where x belongs to real numbers

Shouldn't it be like , if A and B have one element in common then , n {(AxB) intersection (BXA)} also be one and if A and B have 2 elements in common then , n {(AxB) intersection (BXA)} be 2 and like wise for 3 ,4,5 ... But it's given that if A and B have 3 elements in common then , n {(AxB) intersection (BXA)}=9 How is this possible , we don't repeat same elements in the intersection of sets . Please someone explain clearly .

Explain

greatest integer function&smallest integer functionwith some examples.If the ordered pairs (x, -1) and (5, y) belong to the set {(a.b) : b=2a-3}, find the values of x and y.

how to find domain and range of functions can anyone explain me step wise,,,

help help

If the number ofproper subsets of a set A is 31, find the number of elements of A.

^{2}- 3x+ 2 ) / ( x^{2}+ x - 6 )Q=If f(x)=sin^{4}x +cos^{2}x/sin^{2}x +cos^{4}x for xbelonging to R,then f(2002) will be equal to?Find the domain and range of f(x)= 1+ cos2x .Redefine the function modulusx-2 +modulus2+x ,-3 less than or equal to x less than or equal to 3

(i) f: A --> R, f(x)= x2+1, where A={-1,0,2,4}

(ii) g: A --> N, g(x) = 2x, where a={x:x is a natural number less than or equal to 10}

If R is a relation on a finite set having n elements, then the number of relations on A is2^{n}2^{(}^{n)2}n^{2}n^{n}R={(x,y) : y=x+ 6/x , x,y belong to N , and x is less than 6}

can you please solve it.........Find the range of the function f(x)= 2-3x, x belongs to R, R>0

Find range of f(x)=1/(2+3sinx).

_{1/2}(-log_{2}(1+1/(x)^{1/4})-1) in detail