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The function f(x) =(2x^(2)+7)/(x^(3)+3x...

The function `f(x) =(2x^(2)+7)/(x^(3)+3x^(2)-x-3)` is discontinuous for

A

`x=1` only

B

`x=1, -1` only

C

`x=1, -1,-3` and other values of x

D

`x=1, -1, -3` only

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The function f(x)=2-3x is

    A
    increasing
    B
    decreasing
    C
    neither decreasing nor increasing
    D
    None of the above

  • A function f(x) =(x^(2) -3x +2)/(x^(2)+ 2x -3) is

    A
    1 is not in its domain
    B
    minimum at x=-3 and maximum at x=1
    C
    no point of maxima and minima
    D
    increasing in its domain

  • f(x) = (x^(2)+x-2)/(x^(2)-3x+2) is discontinuous at x =

    A
    0,1
    B
    1,2
    C
    `-1, -2`
    D
    `0,-1`

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