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QUESTION
Given ##H = x^2 + 8##, what is ##H^-1##?
The notation ##H^-1## means the inverse function. The equation of the inverse function can be found by switching the ##x## and ##y## values inside the function.
##y = x^2 + 8##
##x = y^2 + 8##
##x - 8 = y^2##
##y = +-sqrt(x - 8)##
Hence, ##H^-1(x) = +-sqrt(x- 8)##.
Hopefully this helps!
