document.write( "Question 1173271: Let f(x) = 1/logx + 1 and g(x) = sin x.
\n" ); document.write( "Determine the domain and range for the composite function
\n" ); document.write( "y = f(g(x)). Explain how you found the domain and range. Unjustified domains and ranges will receive zero marks. \n" ); document.write( "

Algebra.Com's Answer #798476 by Solver92311(821) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Your definition of

is ambiguous. There is no way to tell if you meant

. Just using

without specifying the base is also ambiguous because to some it means

and to some it means

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\n" ); document.write( "\n" ); document.write( "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

where

is the log base you meant.\r
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\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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\r
\n" ); document.write( "\n" ); document.write( "From
\n" ); document.write( "I > Ø
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