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Math Help - Reciprocal of a Linear Function

  1. #1
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    Reciprocal of a Linear Function

    Determine the equation in the form f(x)=1/(kx-c) for the function with a vertical asymptote at x=-1 and a y-intercept at -0.25.

    I don't get how you get k or c.
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  2. #2
    Super Member Quacky's Avatar
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    Re: Reciprocal of a Linear Function

    The y intercept is where x=0.

    The asymptote is a point the graph will tend towards but never reach. When will a value for f(x) not exist for x=-1? Hint: Consider the denominator.
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  3. #3
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    Re: Reciprocal of a Linear Function

    I got c=4 and k=-4, but so is the answer 1/(-4x-4)?
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  4. #4
    Super Member Quacky's Avatar
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    Re: Reciprocal of a Linear Function

    Quote Originally Posted by Dragon08 View Post
    I got c=4 and k=-4, but so is the answer 1/(-4x-4)?
    Looks good! You can always plot the function here to check.
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  5. #5
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    Re: Reciprocal of a Linear Function

    Okay, thank you!
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