Recent content by badatmaths

  1. B

    Find the values of a and b that make f continuous everywhere

    I'm going to blame it on the embarrassingly long amount of time I've been looking at this problem. I just solved, finally. Thanks a lot! I really appreciate it!
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    Find the values of a and b that make f continuous everywhere

    (x+2)(x-2)/(x-2) (x+2) x->2 = 4 That would mean that... 4a - 2b + 5 = 4 4a - 2b = -1 4a = 1/2b a = 1/8b But plugging that into 10a - 4b = 7 gives me... 10(1/8b) - 4b = 7 (5/4)b - 4b = 7 (-11/4)b = 7 b = -28/11 ...Okay, that isn't right...I did this problem 3 different times and came up with...
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    Find the values of a and b that make f continuous everywhere

    I'm really not sure what to do if x->2 for the first equation is undefined...
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    Find the values of a and b that make f continuous everywhere

    Homework Statement Find the values of a and b that make f continuous everywhere. (Enter your answers as fractions.) Homework Equations The Attempt at a Solution lim x->2 (x2-4)/(x-2) = 0 lim x->2 4a - 2b +5 lim x->3 9a - 3b +5 lim x->3 12 - a + b 4a - 2b + 5 = 0 4a...