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Find The constant c that makes g continuous on (-∞, ∞)?

Find The constant c that makes g continuous on (-∞, ∞)

g(x)= x^2-c^2 if x < 4

cx+20 if x >=4 (that's less than or equal to)

3 Answers

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  • Anonymous
    1 decade ago
    Favorite Answer

    16 - c^2 = 4c + 20

    c^2 + 4c + 4 = 0

    (c+2)^2 = 0

    c+2 = 0

    c = -2

    ********************

  • ?
    Lv 4
    5 years ago

    the only ingredient g(x) ought to be probably discontinuous is x = 4. If g(x) *is* non-supply up there, then: x² - c² = cx + 20. So, placing x = 4, provides: sixteen - c² = 4c + 20; or, after rearranging, c² + 4c + 4 = 0. After somewhat concept, this incredibly factors into: (c + 2)(c + 2) = 0, the only actual answer to this being, c = ? is smart? ~Soylent Yellow

  • 1 decade ago

    set x^2-c^2 = cx+20 @ x=4

    16-c^2 =4c+20, solve c =-2

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