Home
Class 12
MATHS
Let f: R to R be defined by f(x) = 3x +...

Let f: `R to R` be defined by `f(x) = 3x + 4, X in R` Is f invertible ? If so, give a formula for `f^(-1)`.

Text Solution

Verified by Experts

The correct Answer is:
Yes. `f^(-1)(y)=1/(3)(y-4). (yinR)`
Promotional Banner

Topper's Solved these Questions

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Problem Set (2) (RELATIONS)|47 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos

  • CORRELATION AND REGRESSION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

Similar Questions

Explore conceptually related problems

Let f : R to R be defined by f (x) = x ^(4), then

If f:R to R is defined by f(x)=|x|, then

Let f:R to R be defined by f(x)=3x-4. Then, f^(-1) (x) is

Let f : R to R be defined by f(x) =(|x| -1)/(|x|+1) is

Let f: R to R be defined by f(x) = |sin 4x| + |cos 4x|, x in R , Then period of f is

f:R rarr R defined by f(x)=x^(3)-4

Let f : R to R be defined by f(x) = x^(3) + x^(2) + 5x + 2 sin x , Then

Let f: R->R be defined by f(x)=x^4 , write f^(-1)(1) .

Let f : R rarr R be defined by f(x) = cos (5x+2). Is f invertible? Justify your answer.

ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (3) (FUNCTIONS AND MAPPING)
  1. Let C be the set of complex numbers. Prove that the mapping f: C to R...

    Text Solution

    |

  2. Let A=R-{3},B=R-{1} " and " f:A rarr B defined by f(x)=(x-2)/(x-3). Is...

    Text Solution

    |

  3. Let f: R to R be defined by f(x) = 3x + 4, X in R Is f invertible ? ...

    Text Solution

    |

  4. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

    Text Solution

    |

  5. Let A and B be two sets with a finite number of elements. Assume that ...

    Text Solution

    |

  6. If f: R to R is defined by f (x)= x^2 + 1, then values of f^(-1) (17) ...

    Text Solution

    |

  7. Which of the statements given below is different from the other?

    Text Solution

    |

  8. Find the domain and range of f (x)= x^2 //(1+x^2)(x real). Is the func...

    Text Solution

    |

  9. If A={x:-1lexle1} and f be a function on A. Discuss the following func...

    Text Solution

    |

  10. If A={x:-1lexle1}=B. Discuss the following functions w.r.t. one-one-on...

    Text Solution

    |

  11. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  12. If f :A-> A,A={x:-1lexle1}=B. Discuss the following functions w.r.t. o...

    Text Solution

    |

  13. If f :A-> A,A={x:-1lexle1}=B. Discuss the following functions w.r.t. o...

    Text Solution

    |

  14. Set A has 3 elements and set B has 4 elements. The number of injection...

    Text Solution

    |

  15. The number of surjections from A={1,2,... n}, n ge 2, onto B = {a,b} ...

    Text Solution

    |

  16. Let A and B be two finite sets having m and n elements respectively. T...

    Text Solution

    |

  17. The total number of injective mappings from a set with melements to a ...

    Text Solution

    |

  18. Let A be a set containing 10 distinct elements, then the total number ...

    Text Solution

    |

  19. If the mappings f : A to B and g: B to C are both bijective, then th...

    Text Solution

    |

  20. Let E = {1,2,3,4} and F {1,2}. Then the number of onto functions from ...

    Text Solution

    |