SOLUTION: Consider f(x) = x^2 + 3, x < 0. What is the inverse of this function?

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Question 886580: Consider f(x) = x^2 + 3, x < 0. What is the inverse of this function?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Visualizing that parabola, the inverse will be the lower half of the horizontal parabola.

Switching places f(x) and x just for easiness,
x=y%5E2%2B3
y%5E2=x-3
y=0%2B-sqrt%28x-3%29
You want highlight%28y=-sqrt%28x-3%29%29.

graph%28-3%2C20%2C-10%2C3%2C-sqrt%28x-3%29%29