Home
Class 12
MATHS
Which of the following function(s) is/ar...

Which of the following function(s) is/are transcendental?
a. `f(x)=5sin(sqrt(x))`
b. `f(x)=(2sin3x)/(x^(2)+2x-1)`
c. `f(x)=sqrt(x^(2)+2x+1)`
d. `f(x)=(x^(2)+3)*2^(x)`

A

`f(x)=5sin(sqrt(x))`

B

`f(x)=(2sin3x)/(x^(2)+2x-1)`

C

`f(x)=sqrt(x^(2)+2x+1)`

D

`f(x)=(x^(2)+3)*2^(x)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|25 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|76 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

f(x)=sqrt(log((3x-x^(2))/(x-1)))

Let f(x)=int(x^(2)dx)/((1+x^(2))(1+sqrt(1+x^(2))))and f(0)=0. f(1) is

Find the domain and range of the following function : f(x) = sin (log((sqrt(4-x^2))/(1-x))) .

If f(x) = (x+2)/(3x-1) then f (f(x)) is

Which of the following function is surjective but not injective. (a) f:R->R ,f(x)=x^4+2x^3-x^2+1 (b) f:R->R ,f(x)=x^2+x+1 (c) f:R->R^+ ,f(x)=sqrt(x^2+1) (d) f:R->R ,f(x)=x^3+2x^2-x+1

Find the domain of the following function : f(x)= sqrt(cos(sinx))+ sin^(-1) ((1+x^2)/(2x)) .

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]

f(x)=cos^(-1)(x^(2)/sqrt(1+x^(2)))

Range of f(x) =sin^-1(sqrt(x^2+x+1)) is

f(x)=sqrt((log(x-1))/(x^(2)-2x-8)) . Find the domain of f(x).