SOLUTION: Please help find the domain of the composite function f o g f(x) = √2-x - 3; g(x)|2X-1| =

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help find the domain of the composite function f o g f(x) = √2-x - 3; g(x)|2X-1| =       Log On


   

Question 617608: Please help find the domain of the composite function f o g
f(x) = √2-x - 3; g(x)|2X-1| =
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help find the domain of the composite function f o g
f(x) = √2-x - 3; g(x)|2X-1| =
---------
fog = f[|2x-1|] = sqrt[2-|2x-1|] - 3
----
2 - |2x-1| must be >= 0
|2x-1 <= 2
-2 <= 2x-1 <= 2
-1 <= 2x <= 3
-1/2 <= x <= 3/2
----
That is the domain.
=========================
Cheers,
Stan H.