Home
Class 12
MATHS
If f, g : R rarr R be defined respective...

If f, g : `R rarr R` be defined respectively by f(x) = 3x + 2 and g(x) = 6x + 5. Find f-g.

Text Solution

Verified by Experts

`(f-g)(x) = f(x) - g(x)`
`= 3x + 2 - 6x - 5`
`= -3x - 3`
`= -3(x +1)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|87 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

If f, g : R rarr R be defined respectively by f(x) = 8x + 7 and g(x) = 3x - 1. Find f-g.

Let f, g : R rarr R be defined respectively by f(x) = 2x + 3 and g(x) = x - 10. Find f-g.

Let f, g : R -> R be defined, respectively by f(x)" "=" "x" "+" "1 ,g(x)" "=" "2x" "" "3 . Find f" "+" "g," "f" "" "g and f/g .

If f,g:R rarr R are defined respectively by f(x)=x^(2)+3x+1 and g(x)=2x-3 then find the value of fog

If f,g:R rarr R are defined respectively by f(x)=x^(2)+3x+1,g(x)=2x-3, find fog (ii) gof (iii) fof (iv) gog.

If A={1,2} and B={3,6} and two functions f: A to B and g: A to B are defined respectively as : f(x) =x^(2) + 2 and g(x) =3x Find whether f=g

Let f : R rarr R , g : R rarr R be two functions given by f(x) = 2x - 3, g(x) = x^(3) + 5 . Then (fog) (x) is equal to

AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Try Yourself
  1. Find the domain and range of |x-3|.

    Text Solution

    |

  2. Find the domain and range of -|x-5|.

    Text Solution

    |

  3. Consider that [] represents greatest integer function. Find the valu...

    Text Solution

    |

  4. Consider that [] represents greatest integer function. [(3)/(5)] + [...

    Text Solution

    |

  5. Let f(x) = x^(3) + 5 and g(x) = 5x + 3 be two real functions. Find (f+...

    Text Solution

    |

  6. Let f(x) = 3x + 8 and g(x) = x^(2) be two real functions. Find (f+g) (...

    Text Solution

    |

  7. If f, g : R rarr R be defined respectively by f(x) = 3x + 2 and g(x) =...

    Text Solution

    |

  8. If f, g : R rarr R be defined respectively by f(x) = 8x + 7 and g(x) =...

    Text Solution

    |

  9. Let f(x) = x^(3) + 6x + 9 and g(x) = x+5 be two functions. Find (f+g) ...

    Text Solution

    |

  10. Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. F...

    Text Solution

    |

  11. Show that the function f : R rarr R defined by f(x) = cos (5x+3) is ne...

    Text Solution

    |

  12. Let A be the set of all 50 students of class X I I in a central sch...

    Text Solution

    |

  13. If f: R->R be given by f(x)=s in^2x+s in^2(x+pi//3)+cosx\ cos(x+pi//3)...

    Text Solution

    |

  14. Let f : R rarr R and g : R rarr R be two functions such that fog (x) =...

    Text Solution

    |

  15. If f : [0, oo) rarr [2, oo) be defined by f(x) = x^(2) + 2, AA xx in R...

    Text Solution

    |

  16. Let f : N ->Rbe a function defined as f(x)=4x^2+12 x+15. Show that f ...

    Text Solution

    |

  17. If ** be a binary operation on N (the setof natural numbers) defined b...

    Text Solution

    |

  18. Let A = {1, 2, 3}. Find the number of binary operations on A.

    Text Solution

    |

  19. If a ** b = 4a^(2) + 6b^(2) be a binary operations on Q, then verify t...

    Text Solution

    |

  20. Let A = N xx N and ** be the binary opertation on A defined by (a, b) ...

    Text Solution

    |