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find the domain and range of following function-

this Q.are in r.d sharma.plz.fast ans.

THANK,YOU

Write the following in set builder form

{...-4,-3,-2,-1,0,1,2,3,4..}

log

_{4}(2log_{3}( 1 + log_{2}( 1 + 3log_{3}x))) = 1/2. Find x.let f(x)=x

^{3}+3x2-33x-33 for x0 and g be its inverse ,then the value of k such that g'(2)=1 is equal to1.72 2.-42 3.124.none of these

Given the relation R={(1,2)(2,3)} on set A={1,2,3} add a minimum number of order pair so that enlarged relation is symmetric ,transitive an d reflexive.

^{-1}x + cosec^{-1}xfind the range of f(x) = under root 16-x

^{2}f(x) = log

_{21/2}(2-log_{2}(16sin^{2}x+1)) : Find the range of the functionfind the range of the function

f(x) = 3sinx + 4cosx - 5

If f(x) = x

^{3}+ 3x^{2}+ 12x - 2sinx ,where f: R-R,thenlet f be one one function with domain {x,y,z} and range {1,2,3}.it is given that exactly one of the following statement is true and remaining two are false.

f(x)=1,f(y)not equal to 1,f(z) not equal to 2.determine f inverse(1)

_{2}log_{1/2}log_{3}x > 0.............. plzz explain the steps as well..Determine whether each of the following relations are reflexive, symmetric and transitive:

(i)Relation R in the set

A= {1, 2, 3…13, 14} defined asR = {(

x,y): 3x−y= 0}(ii) Relation R in the set

Nof natural numbers defined asR = {(

x,y):y=x+ 5 andx< 4}(iii) Relation R in the set

A= {1, 2, 3, 4, 5, 6} asR = {(

x,y):yis divisible byx}(iv) Relation R in the set

Zof all integers defined asR = {(

x,y):x−yis as integer}(v) Relation R in the set

Aof human beings in a town at a particular time given by(a) R = {(

x,y):xandywork at the same place}(b) R = {(

x,y):xandylive in the same locality}(c) R = {(

x,y):xis exactly 7 cm taller thany}(d) R = {(

x,y):xis wife ofy}(e) R = {(

x,y):xis father ofy}^{3}-12x is ? (a)[8, 72] (b)[-8, 72] (c)[0,8] (d)none{ANSWER IS [-8, 72]}

Let f : R-R defined by f(x) = x

^{3}+ ax^{2}+ 3x + 100. Then find the value of 'a' for which f is one one function.(A) f(x+2) = f(x-2) (B) f(2+x) = f(2-x) (C) f(x) = f(-x) (D) f(x) = (- f(-x))

find range of f(x) = x^2 - 6x + 2

IF F( X) IS A POLYNOMIAL FUNCTION SATISFYING F(X)*F(1/X)=F(X) + F(1/X),AND F(3)=28 ,THEN F(4) IS EQUAL TOA.63

B.65

C.68

D.67

<f(2); f(3)>f(4) and f(5)=5 which of the following is true-Please explain this question

Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can be formed such that Y⊆X, Z⊆X and Y∩Z is empty, is

Find range of 3/(2-x

^{2})^{-1}( (2x+1) / (2(2x)^{1/2}) ) ._{3}(5 + 4x - x^{2}) .^{2}- x]) / (1 + sin(cos x)) .find the value of the ratios, sin 3060

find the domain and range of

|x| /1+|x|

1 {2,4,8}

2{2,4,6,8}

3{2,4,6}

4{1,2,3,4}

LOG

_{2}{LOG_{10}X^{2}+3X -2 }find the range of f(x) = 3/ 2-x

^{2}_{1}, A_{2}and A_{3}of complex numbers as defined byA1={z: 0 <=arg(z) <=pi/4

A2 ={z: 1<=| z|<=2

A3 ={z: Re (z)>=square root2and |z|<1

Suppose A is the area covered by the points in the set A

_{1}intersection A_{2.}Then which of the following is (are) trueHow can the modulus of complex No. Z be less than 1 when the real part of the complex No. is greater than root 2

a. (1/2,2)

b. (4/3,2)

c.(0,2)

d. (0,4/3)

^{2}+3 Find1. {x:f(x)=28} 2. The pre images of 39 and 2 under 'f '

^{2}) + log_{10}(x^{3}- x) what is the domain of the function2.if f(x) = cos[pie

^{2}]x + cos[-pie^{2}]x, where [x] stands for the greatest integer function ,thenopt.1.f (pie/2)=-1 2.f (pie)=1 3.f (-pie)=0 4.f (pie/4)=1 i want solution of these questions

FOR REAL NUMBERS x AND y WE WRITE xRy => x - y + UNDERROOT(2) IS AN IRRATIONAL NUMBER THEN RELATION R IS

A. REFLEXIVE

B. SYMMETRIC

C.TRANSITIVE.

D. NONE OF THESE

How to find range of a function ?

^{-1}[2x^{2}-3]Find the number of all onto functions from the set {1, 2, 3, … ,

n) to itself.how to find the period of a function?

for all positive integers n let f(n)= log 2002 n^2 .LET N =f(11)+ f(13)+ f(14)

which of these relations is true? why

let f be continuous function on [1,3]. If f takes only rational values for all x and f(2)=1- , find f(1.5)

Let A = {1, 2, 3, … , 14}. Define a relation R from A to A by R = {(

x,y): 3x–y= 0, wherex,y∈ A}. Write down its domain, codomain and range.If 3f(x)+5f(1/x)=1/x -3,then f(x) =

(a)1/14(3/x +5x -6) (b)1/14(-3/x +5x -6) c)1/14(-3/x +5x+6) d) none of these

A. SYMMETRIC

B. ANTI-SYMMETRIC

C. BOTH A AND B

D. NEITHER A AND B

f(x) = log(x+√(x

^{2}+1) isa. an odd function

b.a periodic function

c. an even function

d. none of these

Please explain brieflythe domain of the function f(x)=square root of x

^{2}-5x+6 + square root of 2x+8-x^{2}a) [2,3]

b) [-2,4]

c) [-2,2] U [3,4]

d) [-2,1] U [2,4]

Pls explain me this question in words particulrly as i can understand the steps but not why is it used

if X = {4

^{n}3n 1 :n∈ N} and Y = {9(n 1) :n∈ N}, where N is the set of natural numbers, then X ∪ Y is equal to:rd sharma, page no. 5.30 Q - 10, 12, 18, 23...and its difficult to write down the statement because it involves symbols which are not available while typing down the query

Q.write the range of the function f(x)=sin[x],where x belongs to[-pi/4,pi/4].

Q.write the range of function f(x)=cos[x],where x belongs to (-pi/2,pi/2).

Q.write the range of the function f(x)=e^(x-[x] ),x may be real num.

The real x and y satisfying simultaneously log

_{8}x + log_{4}y^{2}= 5log_{8}y + log_{4}x^{2}= 7, then the value of xy equal to -(A) 2^{9}(B) 2^{12}(C) 2^{18}(D) 2^{24}If f :R-R, where f(x) = ax + cosx and f(x) is bijective, then

^{+}^{-}^{x}- 3^{x }+1^{2}+6x-5, show that f is invertible with f^{-1}(y)=(y+6)^{1/2}-1/3.is x to the power -1 is a rational function?how?

find the range of 1/1-x2

Please explain this in simple manner.

(A) 1 / g(x) and f(x) are identical function (B) 1 / f(x) and g(x) are identical function

(C) f(x) . g(x) =1 (for all x > 0) (D) 1 / f(x) . g(x) =1 (for all x > 0)

find the range of f(x) = 1/ under root x-5

Q. The number of ordered pairs (a ,b) is

a. 1 b. 2 c. 3 d. infinite

Q. The maximum value of (a+b) is

a. 4000 b. 3999 c. 2999 d. 2000

Q. The minimum value of (a+b) is

a. 2999 b. 1999 c. 2999 d. 1000

Will fo(g + h) = (fog) + (foh)

are greatest integer function and step up function same thing or different thing.If same then please explain all proofs of greatest integer function's properties and if different then whats the difference between them?

Find the range of f(x)=cos[x],for x lies between -pi/2 to pi/2Thanks for giving answer to my query but Iwould like to inform that I am not able to understand the solution pls explain it in detailsolution given by you earlierThe given function is f(x)=cos[x],for -pi/2Since the angle is [x] so the interval -pi/2 1. -pi/2 2. -1 3. 0 4. 1 In the interval -pi/2 So, cos [x] = cos(-2) = cos 2In the interval -1 So, cos [x] = cos(-1) = cos 1In the interval 0 So, cos [x] = cos0 = 1In the interval 1 So, cos [x] = cos1Thus, the range of f(x) = cos[x], for -pi/2

^{2}-49)^{1/2}If a set A has 10 elements and set B has 5 elements what is the number of injective, surgetive and bijective functions from A to B

increasing or decreasing

R ={(x,y): x+2y

Find domain and range.

Paragraph for Question 32 to 34

$f\left(\mathrm{x}\right)=\frac{{\mathrm{x}}^{2}+1}{\mathrm{ax}}\left(\mathrm{a}\ne 0\right);\mathrm{g}\left(\mathrm{x}\right)=3\mathrm{secx};\mathrm{h}\left(\mathrm{x}\right)=\frac{\mathrm{x}+3}{\mathrm{x}-4}.$

on the basis of above information, answer the following question :

32. If range of (x) and g(x) are equal set then 'a' is equal to-

(A) 3 (B) – 2/3 (C) 3/2 (D) – 3/2

33.

f(x) is one- one if -(A) x$\in \left(0,\infty \right)$ (B) x $\in \left(-\infty ,0\right)$ (C) x $\in \left(1,\infty \right)$ (D) x $\in \left(-\infty ,1\right)$

34. Which the following is always false ?

(A) h (x) in one-one

(B)

f(x) in one-one if x > 10(C) g (x) is many -one if x $\in \left(0,\frac{\mathrm{\pi}}{2}\right)\cup \left(\frac{\mathrm{\pi}}{2},3\right)$

(D) The values of k for which

f(x) = k has exactly one solution is k = 2 or k = – 2Find domain of (3x)/(28-x)

A person spends 40% of his salary on food and 30% on rent. If he

savesRs 6000 per month what is his monthly salary?

PLEASE EXPLAIN ME FASTLY

33) Let f : R ------ R be a function defined by f(x) = (x-m)/(x-n) , where 'm' is not equal to n

A) f is one - one onto B) f is one - one into C) f is many one onto D) f is many one into

If f (x) is a polynomial function satisfying 2 + f (x) f (y) = f (x) + f (y) +f (xy) , for all x,y belong to R and f (2) =5.

Find the value of f (f (2)).

what is the domain and range of1) [x] [ ] represents greatest integer function2) {x} { } represents fractional part

a regular octagon is formed by cutting congruent isoceles traingles from the corners of a square,if the square has side length 1 the side length of the octagon is?

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