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August 30, 2014

August 30, 2014

Posted by **angie** on Tuesday, January 10, 2012 at 1:07pm.

g(x)=1/x-4

find the domain and range of f(g(x)) anf f(f(x))

- math/calculus -
**Steve**, Tuesday, January 10, 2012 at 3:33pmdomain of f is all reals

domain of g is all reals except x=4

f(g) = g^2 - 9 = 1/(x-4)^2 - 9

domain of f(g) is the domain of g

range is all reals > -9

f(f) = f^2 - 9 = (x^2-9)^2 - 9

domain and range are all reals.

I expect you meant to type g(f(x)), but I'll let you do that as penalty...

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