Mathematics

Mathematics

Problem

Let g(x)=4−xx−2g(x)=\dfrac{\sqrt{4-x}}{x-2}. a. (i) State separately the two conditions that xx must satisfy so that g(x)g(x) is defined. b. (ii) Explain, in words, how these two conditions combine to give the overall domain of gg. c. (iii) Write the domain of gg in set–builder form.

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