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Find the value of the constant C that makes the following function continuous on (-infinity, +inf)

f(x)={cx+2 if x is in (-inf,2]
cx^2-2 if x i in (2, inf)

  • calculus -

    cx+2 = cx^2-2 at x = 2

    2c+2 = 4c-2
    2c = 4
    c = 2

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