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 ;-;
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.
This has been answered in a nearby post.