Home
Class 11
MATHS
If f and g are continuous functions with...

If f and g are continuous functions with f(3) = 5 and `lim_(xto3)[2f(x)-g(x)]=4`, find g(3).

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise EXERCISE 9.6|22 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - A)|9 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise EXERCISE 9.4|28 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-D (5 MARKS)|4 Videos

Similar Questions

Explore conceptually related problems

If f and g are continuous functions with f(3)=5 and lim_(x to 3)[2f(x)-g(x)]=4 , find g(3).

If f(x) and g(x) are continuous functions, then int_(In lamda)^(In (1//lamda))(f(x^(2)//4)[f(x)-f(-x)])/(g(x^(2)//4)[g(x)+g(-x)])dx is

Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" and "g(x)+g(a-x)=4 " then " int_(0)^(a)f(x)g(x)dx is equal to

If f: R->Q (rational numbers), g: R->Q (Rational number ) are two continuous functions such that sqrt(3)f(x)+g(x)=4, then (1-f(x))^3+(g(x)-3)^3 is equal to a. 1 b. 2 c. 3 d. 4

If f and g are two functions from R to R defind by f(x) = 4x - 3, g(x) = x^(2) + 1 , find fog and gcircf .

f is a continous function in [a, b] ; g is a continuous function in [b,c]. A function h(x) is defined as h(x)=f(x) for x in [a,b) , g(x) for x in (b,c] if f(b) =g(b) then

Let f(x)a n dg(x) be two continuous functions defined from RvecR , such that f(x_1)>f(x_2)a n dg(x_1) f(g(3alpha-4))

If f: RrarrR and g:RrarrR are two given functions, then prove that 2min.{f(x)-g(x),0}=f(x)-g(x)-|g(x)-f(x)|

Let f(x) be a twice-differentiable function and f''(0)=2. Then evaluate lim_(xto0) (2f(x)-3f(2x)+f(4x))/(x^(2)).

SURA PUBLICATION-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.5
  1. Examine the continuity of the following : (|x-2|)/(|x+1|)

    Text Solution

    |

  2. Examine the continuity of the following : cotx+tanx

    Text Solution

    |

  3. Find the points of discontinuity of the function f, where f(x)={{:(4...

    Text Solution

    |

  4. Find the points of discontinuity of the function f, where f(x)={{:(x...

    Text Solution

    |

  5. Find the points of discontinuity of the function f, where f(x)={{:(x...

    Text Solution

    |

  6. Find the points of discontinuity of the function f, where f(x)={{:(s...

    Text Solution

    |

  7. At the given point x(0) discover whether the given function is continu...

    Text Solution

    |

  8. At the given point x(0) discover whether the given function is continu...

    Text Solution

    |

  9. Show that the function {{:((x^(3)-1)/(x-1)", ""if "xne1),(3", ...

    Text Solution

    |

  10. For what value of alpha is this function f(x)={{:((x^(4)-1)/(x-1)", ...

    Text Solution

    |

  11. Let f(x)={{:(0", ""if "xlt0),(x^(2)", ""if "0lexlt2),(4", ""if ...

    Text Solution

    |

  12. If f and g are continuous functions with f(3) = 5 and lim(xto3)[2f(x)-...

    Text Solution

    |

  13. Find the points at which f is discontinuous. At which of these points ...

    Text Solution

    |

  14. Find the points at which f is discontinuous. At which of these points ...

    Text Solution

    |

  15. Which of the following functions f has a removable discontinuity at x=...

    Text Solution

    |

  16. Which of the following functions f has a removable discontinuity at x=...

    Text Solution

    |

  17. Which of the following functions f has a removable discontinuity at x=...

    Text Solution

    |

  18. Find the constant b that makes g continuous on (-oo,oo)" "g(x)={{:(x^(...

    Text Solution

    |

  19. Consider the function f(x)=x"sin"pi/x. What value must we give f(0) in...

    Text Solution

    |

  20. The function f(x)=(x^(2)-1)/(x^(3)-1) is not defined at x = 1. What va...

    Text Solution

    |