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Math Help - Find the discontinuities of a piecewise function

  1. #1
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    Find the discontinuities of a piecewise function

    y=(3x+1) / (x+2), x < 3, x can't = 2
    y= sqrt(x+1), X > (or equal) 3

    I have an infinite discontinuity at x = -2 but my teacher said there's one more. What is it?

    Also, where is this function differentiable

    y = sqrt(8-5x) / (x+1)

    is it x<= 5/8, x /=/ 1?
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  2. #2
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    i didnot get your question well. could u define the function more accurately??
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  3. #3
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    y= (3x+1) / (x+2), x < 3, x can't = -2
    y= sqrt(x+1), X > (or equal) 3

    y can equal both of these things. the Squareroot of (x+1) on the interval x >= 3 and (3x+1) divided by (x+2) on the interval x < 3, x can't = -2
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  4. #4
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    are my answer correct?
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