F-1(x) =X²-8
( f o g )-1 (x) = x² - 4x + 3
g(x) = ?
( f o g )-1 (x) = x² - 4x + 3
g(x) = ?
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f⁻¹ (x)= x² - 8
(fog)⁻¹(x)= x² -4x + 3
g⁻¹ {f⁻¹(x)} = x² - 4x + 3
g⁻¹(x²-8) = x² - 4x + 3
g(x² -4x + 3) = x² -8
g(x) = (2+ √(x+1))² - 8
g(x)= 4+x+1 + 4√(x+1) - 8
g(x) = x + 4√(x+1) + 1