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Math Help - Make this a continuous function

  1. #1
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    Make this a continuous function

    f(x) = -2x +b, if x<-4
    -96/x-b, if >(or equal to) -4

    There are exactly two values for b which make f(x) a continuous function at x=-4. The one with the greater asolute value is b=______
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  2. #2
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    Quote Originally Posted by B-lap View Post
    f(x) = -2x +b, if x<-4
    -96/x-b, if >(or equal to) -4

    There are exactly two values for b which make f(x) a continuous function at x=-4. The one with the greater asolute value is b=______
    f(-4) = -\frac{96}{(-4)-b}

    from the left side of x = -4, f(x) gets close to -2(-4) + b

    both sides should be equal for f(x) to be continuous.

    solve the equation for b ...

    -\frac{96}{(-4)-b} = -2(-4) + b
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