Question 637041
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*[tex \LARGE g(x)] is the "inside" function.  Determine the domain of *[tex \LARGE g(x)], *[tex \LARGE \text{dom}(g)].


Then construct the composite function and determine the domain of the composite *[tex \LARGE \text{dom}\left(f\left(g(x)\right)\right)].


Finally, specify the domain of the composite as the intersection of the two previous sets.  *[tex \LARGE \text{dom}(f\,\circ\,g)\ =\ \text{dom}(g)\ \small{\cap}\LARGE\ \text{dom}\left(f\left(g(x)\right)\right)].


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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