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

^{2}):x belongs to R?if a set A={1,2,3,4,}...what is AxA

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?

a, b, c are positive integers forming an increasing geometric sequence, ba is a perfect square and log a +

log b + log c = 3. Find a + b + c.find the domain and range of

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

Write domain and range of greatest integer function

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

thanks !

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:

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

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

find domain and range

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

Q19. If log_{0.2}(x^{3}+ 8 ) – (0.5) log_{0.2 }(x^{2}+ 4x + 4) $\le $log_{0}_{.2}(x + 58) then x is(A) [ 0, 9 ] (B) [ 9, $\infty $) (C) [ –9, 0) (D) (–$\infty $, 0)

Q20. If ${\mathrm{log}}_{\left(\frac{{x}^{2}-12x+30}{10}\right)}\left({\mathrm{log}}_{2}\frac{2x}{5}\right)0$ then x belongs to interval(A) (2.6 + $\sqrt{6}$ ) ∪ (10 , $\infty $) (B) (2, 6 –$\sqrt{6}$) ∪ (10, $\infty $)

(C) (6 $\sqrt{6}$ + $\sqrt{6}$) ∪ (10, $\infty $) (D) (6 – $\sqrt{6}$, 10)

how can you find the range and domain of root of

^{}(9-x^{2})?f(x)=3/(2-x^2) find the range and domain of the function

graph of f ( x) .

^{2})_{1/2}(-log_{2}(1+1/(x)^{1/4})-1) in detail29.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

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

(b)Let A = {1,2,3,4}, B = {1,5,9,11,16} and f = {(1,5), (2,9), (3,1), (4,5), 2,11)}, explain f is a relation or a function, and justify your answer.

(A) 3

(B) - 2 / 3

(C) 3 / 2

(D) - 3 / 2

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

find the domain and range of

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

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 explanationlet '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

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

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 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

find domain and range of (x

^{2}-9)/x-3If f(x)=

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

f(x) = x

^{2}+2x+1/x^{2}-8x+12Show that 4sin(alpha).sin(alpha + pi/3) sin(alpha + 2pi/3) = sin3alpha.

let f =

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

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)∈R 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 :

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

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 .

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)].

1)Find P

2)Write down Domain and range of R

3)How many possible relations from P to P

What is modulus function?

i) -1

ii) 0

iii) 1

iV) 10

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.

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

fhow to find the domain and range of root of x

^{2 }-4Find the domain and range of f(x)= 1+ cos2x .find the domain and range of the function f(x)=1/root 16-x*x

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.

Given A={-1,0,2,5,6,11},B={-2,-1,0,18,28,108} and f(x)=x^2-x-2.Find f(A).Is f(A) =B ?

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 )explain image and preimage more clearlly with some example.....plz explain it

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

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

In the set of natural numbers. let R be a relation defined on N as aRb iff a,b belongs to N a+2b=11.Write R as the set of ordered pairs. Find the domain of R and the range of R. Also write R raise to -1.

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}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.

R={(x,y) : y=x+ 6/x , x,y belong to N , and x is less than 6}

[|x|]=4, then interval of x is

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

How can I shift my IIT JEE pack to normal meritnation pack..?? Please reply..