Posted by angie on Tuesday, January 10, 2012 at 1:07pm.
f(x)=the squareroot of (x^29) and
g(x)=1/x4
find the domain and range of f(g(x)) anf f(f(x))

math/calculus  Steve, Tuesday, January 10, 2012 at 3:33pm
domain of f is all reals
domain of g is all reals except x=4
f(g) = g^2  9 = 1/(x4)^2  9
domain of f(g) is the domain of g
range is all reals > 9
f(f) = f^2  9 = (x^29)^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...