Math  /  Algebra

QuestionFind the value of cc for which the function ff is continuous for all bb in (,)(-\infty, \infty), defined as: f(b)={cb+6if b9c(b)26if b>9 f(b) = \begin{cases} c b + 6 & \text{if } b \leq 9 \\ c(b)^2 - 6 & \text{if } b > 9 \end{cases}

Studdy Solution
implify the right side to find the value of cc.
c=1/6c =1/6For the function f(b)f(b) to be continuous on (,)(-\infty, \infty), the constant cc must be 1/61/6.

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