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Fid the domain for which the functions f...

Fid the domain for which the functions `f(x)=2x^2-1a n dg(x)=1-3x` are equal.

Text Solution

Verified by Experts

The correct Answer is:
`{-2,(1)/(2)}`
`2x^(2)-1=1-3ximplies2x^(2)+3x-2=0implies(x+2)(2x-1)=0`.
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Knowledge Check

  • The domain for which the functions defined by f(x)=3x^(2)-1 and g(x)=3+x are equal to :

    A
    `[-1,4/3]`
    B
    `[1,4/3]`
    C
    `[-1,-4/3]`
    D
    `[-2,-4/3]`

  • The domain for which the functions defined by f(x) = 3x^2 -1 and g(x) = 3+x are equal to

    A
    `{-1, 4/5}`
    B
    `{-1,-4/5}`
    C
    `(1,4/3}`
    D
    `{1,-4/3}`

  • the domain of the function f(x)=log_(3+x)(x^(2)-1) is

    A
    `(-3,-1)cup(1,infty)`
    B
    `(-3,-2)cup(-2,-1)cup(1,infty)`
    C
    `[-3,-1),cup[1,infty)`
    D
    `[-3,-2)cup(-2,-1)cup[1,infty)`

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