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Function g  is defined as follows: This function has an inverse.   what is \(g^{-1}(-7)\)

\(\[g(x) = \left\{ \begin{array}{cl} 5x^2 & \text{if } x \le -3, \\ 21+x& \text{if }-3 < x \le 10, \\ 2-\sqrt{x}& \text{if }x > 10. \end{array}\right.\]\)

 Jun 6, 2023
 #1
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We have that g(−7)=5(−7)2=245. Since −7>10, we use the third definition of g(x). Therefore, g−1(−7) is the value of x such that g(x)=245 and x>10. This occurs when x=25. Therefore, g−1(−7)=25​.

 Jun 6, 2023
 #2
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i dont think thats correct?

 Jun 6, 2023

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