document.write( "Question 378140: Let f(x)=−9+9⋅log2(−x−3).Find the domain and range of f(x). \n" ); document.write( "

Algebra.Com's Answer #268695 by stanbon(75887) $\"\"$ $\"About$

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Let f(x)=−9+9⋅log2(−x−3).
\n" ); document.write( "Find the domain
\n" ); document.write( "-x-3 must be positive.
\n" ); document.write( "Solve -x-3 > 0
\n" ); document.write( "x < -3
\n" ); document.write( "Domain is All Real Numbers less than -3
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\n" ); document.write( "\n" ); document.write( "and range of f(x).
\n" ); document.write( "log2(-x-3) is asymptotic to x = -3 but ranges
\n" ); document.write( "over all Real Numbers. Multiplying by 9 and
\n" ); document.write( "subtracting 9 still leaves the range over
\n" ); document.write( "All Real Numbers.
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\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C20%2C-10%2C20%2C-9%2B9%28ln%28-x-3%29%2Fln%282%29%29%29\"$
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

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