Home
Class 11
MATHS
If f(x)=ax+b, where a and b are integers...

If f(x)=ax+b, where a and b are integers f(-1)=-7 and f(2)=8 then a and b are equal to:

A

`-5 and 2`

B

`5 and -2`

C

5 and 0

D

0 and -2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos
  • PROBABILITY

    JBD PUBLICATION|Exercise EXAMPLE|71 Videos
  • SEQUENCES AND SERIES

    JBD PUBLICATION|Exercise EXAMPLE|54 Videos

Similar Questions

Explore conceptually related problems

Prove that f(x) = ax + b, where 'a and b' are constants and a> 0 is a strictly increasing function for all real values of x, without using the derivative.

Suppose that f is differentiable for all x and that f^(prime)(x)lt=2 for all x If f(1)=2 and f(4)=8 then f(2) has the value equal to (a) 3 (b) 4 (c) 6 (d) 8

If f(x)=x-[x], where [x] is the greatest integer less than or equal to x, then f(+1/2) is:

If f(a+b-x) = f(x) , then int_a^b x f(x) dx is equal to:

Consider f(x) = sin^(-1) [2x] + cos^(-1) ( [ x] - 1) ( where [.] denotes greatest integer function .) If domain of f(x) " is " [a,b) and the range of f(x) is {c,d}" then " a + b + (2d)/c is equal to ( where c lt d )

Suppose f(x)=e^(ax)+e^(bx), where aneb and f''(x)-2f'(x)-15f(x)=0 for all x, then the value of |a+b| is equal to......

Let f(x)=x^n , n being a non negative integer. The value of n for which the equality f'(a+b)=f'(a)+f'(b) is valid for all a.bgt0 is

Let f(x)=x^(3)+ax^(2)+bx+c be the given cubic polynomial and f(x)=0 be the corresponding cubic equation, where a, b, c in R. Now, f'(x)=3x^(2)+2ax+b Let D=4a^(2)-12b=4(a^(2)-3b) be the discriminant of the equation f'(x)=0 . If D=4(a^(2)-3b)gt0 and f(x_(1)).f(x_(2)) lt0" where " x_(1),x_(2) are the roots of f(x), then a. f(x) has all real and distinct roots b. f(x) has three real roots but one of the roots would be repeated c. f(x) would have just one real root d. None of the above

lim_(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and f'(1)=4 then (a) limit does not exist (b) is equal to - 3/2 (c) is equal to 3/2 (d) is equal to 3

JBD PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. If f(x)=ax+b, where a and b are integers f(-1)=-7 and f(2)=8 then a an...

    Text Solution

    |

  2. Let A={1,2,3}, B={2,3,4} and C={4,5,6}.verify that: Axx(BcapC)=(AxxB)c...

    Text Solution

    |

  3. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(BcupC)=(AxxB)c...

    Text Solution

    |

  4. Let A={1,2,3}, B={2,3,4} and C={4,5}.n verify that: Axx(B-C)=(AxxB)-(A...

    Text Solution

    |

  5. Let A={2,3}, B={1,2,3,4}. Verify that AxxA=(AxxB)cap(BxxA).

    Text Solution

    |

  6. Find the domain of the function:f(x)=(x^2-3x+2)/(x^2+x-6)

    Text Solution

    |

  7. Let f= {(x, x^2/(1+x^2)): x in R} be a function from R into R. Determi...

    Text Solution

    |

  8. Find the range of the following functions: f(x)=1+3 cos2x

    Text Solution

    |

  9. Find the range of the following functions: f(x)=1-|x-2|

    Text Solution

    |

  10. Find the range of the following functions: f(x)=3/(2-x^2).

    Text Solution

    |

  11. Find the domain and range of the following real function:- f(x) = -|x...

    Text Solution

    |

  12. Find the domain and range of the following functions: f(x)=sqrt(16-x^2...

    Text Solution

    |

  13. Find the domain and range of the following functions: f(x)=sqrt(x-3)

    Text Solution

    |

  14. Find the domain and range of the following functions: f(x)=|x-3|

    Text Solution

    |

  15. If f(x)=(x-1)/(x+1), then show that f(1/x)=-f(x)

    Text Solution

    |

  16. If f(x)=(x-1)/(x+1), then show that f(-1/x)=-1/f(x).

    Text Solution

    |

  17. Domian of f(x)=1/sqrt(x+|x|) is

    Text Solution

    |

  18. Find the domain of each of the following functions: x|x|

    Text Solution

    |

  19. Find the domain of each of the following functions: (x^3-x+3)/(x^2-1)

    Text Solution

    |

  20. Find the domain of f(x)=1/sqrt(1-cosx)

    Text Solution

    |

  21. Find the range of f(x)=1-|x-2|.

    Text Solution

    |