The function g(x) is the inverse of the function f (x) = (x + 1)2 + 2, when x < -1
1 answer:
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Answer:
g(x) = -√(x -2) -1
Step-by-step explanation:
We note the domain of f(x) is x ≤ -1. The is the range of the function g(x).
The inverse function is the solution to ...
x = f(y)
x = (y +1)² +2
x -2 = (y +1)²
-√(x -2) = y +1 . . . . . . . we are interested only in the negative values
y = -√(x -2) -1
The inverse function is ...
g(x) = -√(x -2) -1
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