Which of the following function from Z t...

Which of the following function from Z to itself are bijections? `f(x)=x^3` (b) `f(x)=x+2` `f(x)=2x+1` (d) `f(x)=x^2+x`

Topper's Solved these Questions

PROPERTIES AND SOLUTIONS OF TRIANGLE
CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
SCALER TRIPLE PRODUCTS
CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Which of the following functions from A={x in R :-1lt=xlt=1} to itself are bijections? f(x)=|x| (b) f(x)=sin((pix)/2) (c) f(x)=sin((pix)/4) (d) none of these

Which of the following function/functions has/have point of inflection? f(x)=x^(6/7) (b) f(x)=x^6 f(x)=cosx+2x (d) f(x)=x|x|

Which of the following function is non-differentiable in domain? f(x)=(x-2)/(x^2+3) (b) f(x)=log|x| f(x)=x^3logx (d) f(x)=(x-3)^(3/5)

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2(x(x-1)) (d) None of these

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2

Find the range of the following functions. (a) f(x)=5-7x " (b) "f(x)=5-x^(2) (c ) f(x)=(x^(2))/(x^(2)+1)

Let A={x:-1 le x le 1}=B be a function f: A to B. Then find the nature of each of the following functions. (i) f(x) = |x| " (ii) " f(x)=x|x| (iii) f(x)=x^(3) " (iv) " f(x)="sin"(pi x)/(2)

If f(x)=2^x the f(x+3)/ f(x-1) =?

In which of the following functions is Rolles theorem applicable? (a)f(x)={x ,0lt=x<1 ;0,x=1on[0,1] (b)f(x)={(sinx)/x ,-pilt=x<0 ;0,x=0on[-pi,0) (c)f(x)=(x^2-x-6)/(x-1)on[-2,3] (d)f(x)={(x^3-2x^2-5x+6)/(x-1)ifx!=1,-6ifx=1on[-2,3]

Which of the following functions have the graph symmetrical about the origin? (a) f(x) given by f(x)+f(y)=f((x+y)/(1-x y)) (b) f(x) given by f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2)) (c) f(x) given by f(x+y)=f(x)+f(y)AAx , y in R (d) none of these

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions

Find the range of f(x)=sec(pi/4cos^2x)
Text Solution
|
The number of values of x for which |||x^2-x+4|-2|-3|=x^2+x-12 is
Text Solution
|
Which of the following function from Z to itself are bijections? f(x)=...
Text Solution
|
Find the domain and range of f(x)=log{x},w h e r e{} represents the fr...
Text Solution
|
The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the gre...
Text Solution
|
If f:NrarrN f(n)={(n+1)/2; when n is odd =n/2;...
Text Solution
|
Find the domain and range of f(x)=sin^(-1)[x] where [] represents the ...
Text Solution
|
Find the range of the following function f(x)=|x-1|+|x-2|,-1lexle3 is
Text Solution
|
Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then
Text Solution
|
Find the domain of the following functions: f(x)=sqrt(2-x)-1/(sqrt(9-x...
Text Solution
|
Which of the following functions is the inverse of itself? (a) f(x)=(1...
Text Solution
|
If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of f...
Text Solution
|
Find the domain of f(x)=sqrt(([x]-1))+sqrt((4-[x])) (where [ ] repres...
Text Solution
|
The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1)...
Text Solution
|
Let f(x)=a x+b and g(x)=c x+d , a!=0. Assume a=1,b=2. If (fog)(x)=(gof...
Text Solution
|
Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).
Text Solution
|
If f(x)={x^2sin((pix)/2),|x|<1x|x|,|x|geq1,t h e nf(x)i s an even fun...
Text Solution
|
Let f(x) and g(x) be bijective functions where f:{1, b , c , d} rarr {...
Text Solution
|
If a lt b lt c , then find the range of f(x)="|x-a|+|x-b|+|x-c|
Text Solution
|
The function f:(-oo,-1)rarr(0, e^5) defined by f(x)=e^(x^3-3x+2) is ...
Text Solution
|