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\(\text{The function $f(x) = -3x^2 + 36x - 7,$ defined for all real numbers, does not have an inverse. However, when its domain is restricted to $x \in [c,\infty),$ the function does become invertible, for certain values of $c.$ What is the smallest such value of $c$? }\)

 Aug 16, 2020
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The smallest value of c that works is 11.

 Aug 16, 2020

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