Home
Class 12
MATHS
Is g={(1,1),(2,3),(3,5,),(4,7)} a functi...

Is `g={(1,1),(2,3),(3,5,),(4,7)}` a function? If this is described by the formula, `g(x)=alphax+beta,` then what values should be assigned to `alphaa n dbeta?`

A

`alpha =1 , beta` = 1

B

`alpha = 2, beta = - 1`

C

`alpha = 1. beta = - 2`

D

`alpha = - 2, beta = - 1 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

Is g={(1,1),(2,3),(3,5),(4,7)} a function? If this is described by the formula,g(x)=alpha x+beta, then what values should be assigned to alpha and beta?

Let f={(-1,-3),(0,-1),(1,1),(2,3)} be a function, described by the formula, f(x)=alphax+beta . Then, find the valves of alphaandbeta . Also, find the formula.

If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alpha x+beta, find the values of alpha and beta.

If g(x)=[(1,1),(2,3),(3,5),(4,7)] is a function from A={1,2,3,4} to B={1,3,5,7} and g(x)=ax+b, then find "a" and "b"?

If B={(1,1),(2,3),(3,5),(4,7)}" is a function from ,A={1,2,3,4}" to "B={1,3,5,7} ,g(x)=ax+b " find "a" and "b?

If f(x)=alpha x+beta and f ={(1, 1), (2, 3), (3, 5), (4, 7)}, then the values of alpha,beta are :

Let f(x)=det[[x,1,1sin2 pi x,2x^(2),1x^(3),3x^(4),1]]. If f(x) be an odd function and its odd values is equal g(x) then find the value of lambda. If f(1)g(1)=-4 lambda

If alpha and beta are the roots of 4x^(2) + 3x +7 =0 then the value of 1/alpha + 1/beta is

DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 1
  1. If 3 f(x) - f((1)/(x) ) = log x^(4) , then f(e^(-x)) is

    Text Solution

    |

  2. If f(x) = x^(3) - (1)/(x^(3)) then f (x) + f((1)/(x)) is equal to

    Text Solution

    |

  3. Is g={(1,1),(2,3),(3,5,),(4,7)} a function? If this is described by th...

    Text Solution

    |

  4. If f(y) = 2y^(2) + by + c and f(0) = 3 and f(2) = 1, then the value of...

    Text Solution

    |

  5. The domain of definition of the function y=(1)/(log(10)(1-x))+sqrt(x...

    Text Solution

    |

  6. Let f = {(1, 1),(2,3),(0,-1), (-1,-3)} be a linear function from Z int...

    Text Solution

    |

  7. If f(x) = (1)/(sqrt( (x+1) (e^(x) - 1)(x-4)(x +5)(x -6))), then the do...

    Text Solution

    |

  8. If f and g are two functions defined as f (x) = x + 2, x le 0 , g (x)...

    Text Solution

    |

  9. If f(x+1)=x^(2)-3x+2 then f(x) is equal to

    Text Solution

    |

  10. f(x) = (x (x-p))/(q - p) + (x (x - q))/(p - q) , pneq. What is the val...

    Text Solution

    |

  11. If [x]^2-5[x]+6=0, where [.] denotes the greatest integer function, th...

    Text Solution

    |

  12. The domain of the function f(x) =(1)/(sqrt(|x|-x)), is

    Text Solution

    |

  13. If f(x)=xandg(x)=|x|, then what is (f+g)(x) equal to ?

    Text Solution

    |

  14. If f(x) = e^(-x), then (f (-a))/(f(b)) is equal to

    Text Solution

    |

  15. If P={x in R : f(x)=0} and Q={x in R : g(x)=0 }, then PuuQ is

    Text Solution

    |

  16. The domain of the function f(x) = (|x + 3|)/(x + 3) is

    Text Solution

    |

  17. let f(x)=sqrt(1+x^2) then

    Text Solution

    |

  18. The function f(x)=log(10)((1+x)/(1-x)) satisfies the equation

    Text Solution

    |

  19. If f (x + y) = f(x) + 2y^(2) + kxy and f(a) = 2, f(b) = 8, then f(x) ...

    Text Solution

    |

  20. Let f1(x)={x, x leq x leq 1 and 1 x gt1 and 0,otherwise f2(x) =f1 (...

    Text Solution

    |