SOLUTION: Consider the function f(x) = 8-x^2 for the domain [0,infinity). Find f ^-1 (x), where f ^-1 is the inverse of f. Also state the domain of f ^-1 in interval notation. f ^-1 (

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Consider the function f(x) = 8-x^2 for the domain [0,infinity). Find f ^-1 (x), where f ^-1 is the inverse of f. Also state the domain of f ^-1 in interval notation. f ^-1 (      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1068242: Consider the function f(x) = 8-x^2 for the domain [0,infinity).
Find f ^-1 (x), where f ^-1 is the inverse of f.
Also state the domain of f ^-1 in interval notation.
f ^-1 (x) = ________ for the domain ________
Appreciate help on this question. Thank you.

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The RANGE for f(x)=8-x^2 using the domain [0,infinity) is [0,8]. This will then become the domain for the inverse function.

Quick-switch
8-y%5E2=x
-y%5E2=x-8
y%5E2=-x%2B8
highlight%28y=sqrt%288-x%29%29, the upper branch being what is wanted here.


graph%28300%2C300%2C-2%2C10%2C-2%2C10%2C8-x%5E2%2Csqrt%288-x%29%29
f in red
f^-1 in green