Find the inverse function of f. f(x) = 2 − x2, x ≥ 0 f −1(x) = , x ≤ 2

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Find the inverse function of f.

f(x) = 2 − x2,    x ≥ 0
f −1(x) = 
 ,    x ≤ 2
Nov 21st, 2017

Thank you for the opportunity to help you with your question!

let y=f(x)

y= 2 - x^2

2-y = x^2

since y<=2

square root can be applied

so f-1(x) = (2-x)^-1/2

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 2nd, 2015

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