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Function g is defined as follows: 

g(x)= 

1. 5x^2 if x≤-3,

2. 21+x if -3

3. 2-√x if x>10.

 

This function has an inverse.

what is g^-1 (-7)?

 

The -7 is not in the exponent

 

TY ;-;

 May 1, 2023
 #1
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We see that g^−1(−7) is the value of x such that g(x)=−7. Since −7 lies in the interval (−3,10), we use the second piecewise definition of g(x), which gives −7=21+x. Solving for x, we find x=−28, so g^−1(−7) = -28​.

 May 1, 2023
 #2
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+1

This has been answered in a nearby post.

 May 1, 2023

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