Home
Class 12
MATHS
let f : N rarr R be the function define...

let `f : N rarr R ` be the function defined by `f(x) = (2x-1)/(2)` and `g : Q rarr R` be another function defined by g(x) = x+2, then (gof) `(3/2)` is

A

1

B

1

C

`(7/2)`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • PROBABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|467 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Let f : R rarr R be the functions defined by f(X) = x^3 + 5 , then f^-1 (x) is

Let f : R rarr R be defined by f(x) = 3x - 4, then f^-1 (x) =

If the function f: RrarrR given by f(x) =x^(2) +3x +1 and g : R rarr R he given by g(x) = 2x -3 find gof

Let f : R - (3/5) rarr R be defined by f(X) = (3x+2)/(5x-3) , then

If f : R rarr R is defined by f(x) = 2x + 3, then f^-1 (x)

If the function f: RrarrR given by f(x) =x^(2) +3x +1 and g : R rarr R he given by g(x) = 2x -3 find fog

If f: R rarr R is defined by f(x) = x/(x^2 +1) then f(f(2)) is

f:R to R is a function defined by f(x)= 10x -7, if g=f^(-1) then g(x)=

Show that the function f: R rarr R defined by f(x) = (3x-1)/2, x in R is one-one and onto function.

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let f:[2, infty) to R be the function defined by f(x)=x^(2)-4x+5, then...

    Text Solution

    |

  2. Let f : R rarr R be defined by f(x) = x^2 +1, then, f^-1(17) and f^-1 ...

    Text Solution

    |

  3. Which of the following function from Z to itself are bijections?

    Text Solution

    |

  4. Let f : R rarr R be the functions defined by f(X) = x^3 + 5, then f^-...

    Text Solution

    |

  5. Let f : R - (3/5) rarr R be defined by f(X) = (3x+2)/(5x-3) , then

    Text Solution

    |

  6. Let f : R rarr Rbe given byf(X) = tan x, then f^-1 (1) is

    Text Solution

    |

  7. Let f:R rarr R be defined by f(x)={{:(2x, xgt3),(x^2,1lexlt3),(3x,xl...

    Text Solution

    |

  8. Let f(x)=ax^(2)+bx+c where a,b,c epsilonR, a!=0. Suppose |f(x)|le1,AA ...

    Text Solution

    |

  9. Which of the following functions is differentiable at x = 0 ?

    Text Solution

    |

  10. Let f: RrarrR be defined f(x) = sin x and g: RrarrR be defined by g...

    Text Solution

    |

  11. Let f: R rarr R be defined as f(X) = 3x. Then

    Text Solution

    |

  12. Let f : X rarr Y and g : Y rarr Z be two invertible functions. Then go...

    Text Solution

    |

  13. Let f (x) = x^2 and g (x) = sqrtx, then

    Text Solution

    |

  14. If f(x) = x+1 And g (X) = 2x, then f (g(x)) is equal to

    Text Solution

    |

  15. If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, wh...

    Text Solution

    |

  16. Let f : R rarr R be defined by f(x) = 1/x AA x inR, then f is

    Text Solution

    |

  17. let f : N rarr R be the function defined by f(x) = (2x-1)/(2) and g :...

    Text Solution

    |

  18. The identity element for the binary operation * defined on Q - (0) as ...

    Text Solution

    |

  19. If A = (a,b), then the number of binary operations that can be defined...

    Text Solution

    |

  20. Let * be the binary operation defined on R by a * b = 1 + ab for all a...

    Text Solution

    |