SOLUTION: Let f(x) = 1/logx + 1 and g(x) = sin x.
Determine the domain and range for the composite function
y = f(g(x)). Explain how you found the domain and range. Unjustified domains and
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-> SOLUTION: Let f(x) = 1/logx + 1 and g(x) = sin x.
Determine the domain and range for the composite function
y = f(g(x)). Explain how you found the domain and range. Unjustified domains and
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Question 1173271: Let f(x) = 1/logx + 1 and g(x) = sin x.
Determine the domain and range for the composite function
y = f(g(x)). Explain how you found the domain and range. Unjustified domains and ranges will receive zero marks. Answer by Solver92311(821) (Show Source):
Your definition of is ambiguous. There is no way to tell if you meant or . Just using without specifying the base is also ambiguous because to some it means and to some it means
The domain of is all reals and the range of is the closed interval from -1 to 1. The domain of the function is all positive reals, which means that you must restrict the range of to the interval (0,1] for the composite function, which means that you must restrict the domain of to the interval where . Then depending on which of the definitions of you meant, you must either restrict the range of such that the denominator in is not equal to zero, so either or where is the log base you meant.
John
My calculator said it, I believe it, that settles it
From
I > Ø
