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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
- Anonymous1 decade agoFavorite Answer
16 - c^2 = 4c + 20
c^2 + 4c + 4 = 0
(c+2)^2 = 0
c+2 = 0
c = -2
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- ?Lv 45 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