Home
Class 12
MATHS
Which of the following functions is the ...

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

Promotional Banner

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 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 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

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|

If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, then which of the following is true? (a) f(x+1)=f(x) (b) f(x+3)=f(x) (c) f(x+2)=f(x) (d) None of these

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

Let f(x)=|x-1|dot Then (a) f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c) f(|x|)=|f(x)| (d) none of these

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

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

If g (x) is the inverse of f (x) and f(x)=(1)/(1+x^(3)) , then find g(x) .

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)

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let f : R to R be a function such that f(x)=x^3+x^2+3x+sinx . Then

    Text Solution

    |

  2. Find the domain of the following functions: f(x)=sqrt(2-x)-1/(sqrt(9-x...

    Text Solution

    |

  3. Which of the following functions is the inverse of itself? (a) f(x)=(1...

    Text Solution

    |

  4. If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of f...

    Text Solution

    |

  5. Find the domain of f(x)=sqrt(([x]-1))+sqrt((4-[x])) (where [ ] repres...

    Text Solution

    |

  6. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1)...

    Text Solution

    |

  7. 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

    |

  8. Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

    Text Solution

    |

  9. If f(x)={x^2sin((pix)/2),|x|<1x|x|,|x|geq1,t h e nf(x)i s an even fun...

    Text Solution

    |

  10. Let f(x) and g(x) be bijective functions where f:{1, b , c , d} rarr {...

    Text Solution

    |

  11. If a lt b lt c , then find the range of f(x)="|x-a|+|x-b|+|x-c|

    Text Solution

    |

  12. The function f:(-oo,-1)rarr(0, e^5) defined by f(x)=e^(x^3-3x+2) is ...

    Text Solution

    |

  13. Let f:{2,3,4,5}rarr{3,4,5,9} and g:{3,4,5,9}rarr{7, 11 , 15} be functi...

    Text Solution

    |

  14. Find the set of real value(s) of a for which the equation |2x+3|+|2x-...

    Text Solution

    |

  15. Which of the following function/functions is/are periodic ? (a) sgn(...

    Text Solution

    |

  16. If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2, then (A) f(g(x))=x^2,x!=...

    Text Solution

    |

  17. Find the domain of the function f(x)=1/(1+2sinx)

    Text Solution

    |

  18. Find the period (if periodic) of the following function : f(x)=(|sinx+...

    Text Solution

    |

  19. Find the range of f(x)=sqrt(1-sqrt(x^2-6x+9))

    Text Solution

    |

  20. The value of sum(r=1)^(2000) {{x+r}}/2000 is

    Text Solution

    |