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34 votes
34 votes
3. The functions f and g are defined by


f(x) = (8)/(x - 2) + 2 \: for \: x > 2


g(x) = (8)/(x - 2) + 2 \: for \: 2 < x < 4
(a)(i) State the range of the function f.
(ii) State the range of the function g.
(iii) State the range of the function fg.
(b) Explain why the function gf cannot be formed.​

User Sady
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1 Answer

17 votes
17 votes
i) range is (-infinity,2)
ii) range is (6, infinity)
iii) range is (6,infinity)
b)
Cause the range of f doesn’t match any element of the domain of g
User Aleh
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