Posted by mary on Tuesday, October 26, 2010 at 7:41am.
Solve the two sided inequality and show the solution on real line
7 < 12x ≤ 10
Given two functions as:
f(x) = x2x1 and g(x) = 3/x
Find fog(x) also find the domain of f, g and fog

math  Reiny, Tuesday, October 26, 2010 at 8:19am
7 < 12x ≤ 10
6 < 2x ≤ 9
3 > x ≥ 9/2
or in the more usual form ..
9/2 ≤ x < 3

math  Reiny, Tuesday, October 26, 2010 at 8:21am
the second part of your question I had already answered for you yesterday, but here it is again ...
domain of f : any real number
domain of g : any real number except x ≠ 0
fog
= f(g(x))
= f(3/x)
= (3/x)^2  3/x  1
clearly the domain of fog is any real number, except x≠0
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