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Verified answer
Verified answer
F(x) = (2x - 5)/(x + 3)f^-1 (x) = (-3x - 5)/(x - 2)
f^-1 (-2) = (-3(-2) - 5)/(-2 - 2)
f^-1 (-2) = (6 - 5)/-4 = -1/4
g(x) = 5 - 2x
g^-1 (x) = (5 - x)/2
(fog)^-1 (-2)
= (g^-1 o f^-1)(-2)
= g^-1 (f^-1 (-2))
= g^-1 (-1/4)
= (5 - (-1/4))/2
= ((5×4 + 1)/4)/2
= 21/(4 . 2)
= 21/8