In western(ISO-8859-1) encoding, the post is:
Find (f + g)x, (f-g)x, (fg)x, and
(f/g)x and their domains.
f(x)=√(9-x²),g(x)=√(x²-4)
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If you are working in the real domain (ℝ), you would want the results of the transformations to remain in ℝ.
For the +,- and * operations, the transformed domain would simply be D(f)∩D(g).
For the division, (f/g)(x), you will need to remove from D(f)∩D(g) points that do not exist in the transformed function. In the case of polynomials, this would generally be the values of x where g(x) becomes zero.
So if you get started with finding the domains of f(x) and g(x), you would have made a big step. All you need to do is to find the domains according to the rules above.
Post your answers for a check if you wish.
Find (f + g)x, (f-g)x, (fg)x, and
(f/g)x and their domains.
f(x)=¡î(9-x©÷),g(x)=¡î(x©÷-4)
1 answer