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Answer:
A. g(x) = √(x -5), x ≥ 5
Step-by-step explanation:
You can use the definition of an inverse function to solve for g(x).
x = f(g(x))
x = (g(x))^2 +5
x -5 = (g(x))^2 . . . . . subtract 5
√(x -5) = g(x) . . . . . take the square root
The radical contents cannot be negative, so this is only defined for x-5 ≥ 0, or x ≥ 5.
g(x) = √(x -5), x ≥ 5
