SOLUTION: Can I please have your assistance? Consider f(x) = x2 + 3, x < 0. What is the inverse of this function?

Algebra ->  Real-numbers -> SOLUTION: Can I please have your assistance? Consider f(x) = x2 + 3, x < 0. What is the inverse of this function?       Log On


   

Question 1040342: Can I please have your assistance? Consider f(x) = x2 + 3, x < 0. What is the inverse of this function?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28f%28x%29=x%5E2%2B3%2Cx%3C0%29
Domain is negative real numbers.
Range is real numbers greater than 3.


INVERSE WANTED.
Domain is real numbers greater than 3.
Range is negative real numbers.

FIND THIS INVERSE.
y%5E2%2B3=x
y%5E2=x-3
y=-sqrt%28x-3%29
y here is now f%5E-1%28x%29.
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highlight%28f%5E%28-1%29%28x%29=-sqrt%28x-3%29%29