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

^{2}):x belongs to R?n(A)=p and N(B) = q.

In signum and greatest integer function, why does the line starts with a large dot???????

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

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

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

Write domain and range of greatest integer function

graph of f ( x) .

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

thanks !

find domain and range:

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

1)Find P

2)Write down Domain and range of R

3)How many possible relations from P to P

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

find the domain and range of 3/2-x^2

A a=root3

B a=3

C b=3

D b=root2

find domain and range

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

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

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

(b) Define the function f(x)

how can you find the range and domain of root of

^{}(9-x^{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

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

(1) 3

^{210}(2) 7

^{140}(3) 17

^{105}(4) 3184

( How To Do This Type Of Numericals ?? )^{2})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 .

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

^{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) Nonelet f =

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

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

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

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

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

find the domain and range of

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

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

a) m is 1/2 of n

b)m is 2 times n.

c)m is 3 times n.

d) m is 1/3 of n.

find domain and range of (x

^{2}-9)/x-3THE 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?

If f(x)=

x^{2}-3x+4,then find the values of x satisfying the equation f(2x+1).find the domain and range of the function f(x)=x-3/2x+1.

find the range of

f(x) = x

^{2}+2x+1/x^{2}-8x+12find domain and range of f(x)= square root of (x - 1)(3 - x)

fhow to find the domain and range of root of x

^{2 }-41.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 }

find the domain of the function f(x)=1 / [sinx]

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)].

What is modulus function?

If 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.

a) (x,y) ÎR for all x Î Z

b) (x,y) ÎR Þ (y,x) ÎR for all x,y ÎZ

c) (x,y) ÎR & (y,z) ÎR Þ (x,z) Î R for all x,y,z ÎR

find 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

^{2}- 6x +[x] +7 =0 where [ ] represents greatest integer functionExplain

greatest integer function&smallest integer functionwith some examples.(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 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

_{2}(log_{2}x) + log_{1/2}(log_{2 }2sq.root2x)=1If the number ofproper subsets of a set A is 31, find the number of elements of A.

the maximum no of values of x if|x-2|+|x-4|=2 is^{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?If the following function is differentiable at x=2, then find the values of a and b

f(x) = {x

^{2},^{ }if x less than or equal to 2ax+b, if x>2

Redefine the function modulusx-2 +modulus2+x ,-3 less than or equal to x less than or equal to 3

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

^{2}- 3x+2, find f(f(x)) hence find f(f(5))