Home
Class 12
MATHS
f : R - {(-4)/3} rarr R be a function de...

f : `R - {(-4)/3} rarr R` be a function defined as `f(x) = (4x)/(3x +4)`. The inverse of f is the map g : Range `f rarr R - {(-4)/3}` given by

A

g(y)=(3 y)/(3-4 y)'

B

'g(y)=(4 y)/(4-3 y)'

C

g(y)=(4 y)/(3-3 y)'

D

g(y)=(3 y)/(4-3 y)'

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|132 Videos

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

Let f: R rarr R be a function defined by f(x)=x^2-3 x+2 Find f^' (2) and f^'(6)

If f: R rarr R be a function defined by f(x)=4 x^3-7 , show that the function f is a bijective function.

Let f:R-{(-4)/3}toR be a function defined by f(x)=frac(4x)(3x+4),xne-4/3 . Show that f^-1(y)=frac(4y)(4-3y)

Let f:R-{(-4)/3}toR be a function defined b f(x)=frac(4x)(3x+4),xne-4/3 . Show that f^-1(y)=frac(4y)(4-3y)

Let f, g: R rarr R be functions defined respectively by f(x)=x+1, g(x)=2 x-3 Find fg.

Find the inverse of the function f: R rarr (-oo,1) given by f(x) = 1-2^(-x)

Show that the function f in A=R-{2/3} defined as f(x)=(4x+3)/(6x-4) is one-one and onto.

V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let f : X rarr Y be invertible, show that the inverse of f^(-1) = f, ...

    Text Solution

    |

  2. If f : R rarr R be given by f(x) = (3 - x^3)^(1/3), then (f o f) (x) i...

    Text Solution

    |

  3. f : R - {(-4)/3} rarr R be a function defined as f(x) = (4x)/(3x +4). ...

    Text Solution

    |

  4. Can you define a function from 'RxR rarr R' such as 'f3: RxR rarr, R' ...

    Text Solution

    |

  5. Can yóu define a function from 'R xx R rarr R' such as 'f4: R xx R rar...

    Text Solution

    |

  6. Show that addition, subtraction and multiplication are binary opera...

    Text Solution

    |

  7. Show that subtraction and division are not binary operations on N.

    Text Solution

    |

  8. Show that *: R xx R rarr R is given by (a, b) rarr(a+4 b)^2 is a binar...

    Text Solution

    |

  9. Let P be the set of all subsets of a given set X. Show that uu: P xx P...

    Text Solution

    |

  10. Show that the vee: R xx R rarr R given by (a, b) rarr max {a, b} and t...

    Text Solution

    |

  11. Show that +: R xx R rarr R and xx: R xx R rarr R are commutative binar...

    Text Solution

    |

  12. Show that *: R xx R rarr R defined by a * b=a+2 b is not commutative.

    Text Solution

    |

  13. Show that addition and multiplication are associativé binary operation...

    Text Solution

    |

  14. Show that * :R xx R rarr R given by a* b= a+2 b is not associative.

    Text Solution

    |

  15. Show that zero is the identity for addition on R and 1 is the identity...

    Text Solution

    |

  16. Show that - a is not the inverse of a in N for the addition operation ...

    Text Solution

    |

  17. Determine whether or not each of the definitions of ** given below giv...

    Text Solution

    |

  18. For each binary operation ** defined below, determine whether ** is co...

    Text Solution

    |

  19. Consider the binary operation on a set {1,2,3,4,5}. defined by a ^^ b=...

    Text Solution

    |

  20. Consider the binary operation ** on the set A= {1,2,3,4,5} given by th...

    Text Solution

    |