Algebra.Com's Answer #110113 by jim_thompson5910(35256)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( " Start with the given function\r
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document.write( " Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of x that make the denominator zero, then we must exclude them from the domain.\r
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document.write( " Subtract 5 from both sides\r
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document.write( " Combine like terms on the right side\r
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document.write( " Divide both sides by -1 to isolate x\r
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document.write( " Divide\r
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document.write( "Since makes the denominator equal to zero, this means we must exclude from our domain\r
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document.write( "So our domain is: ![](\"/cgi-bin/rendertex.cgi?\LARGE) \r
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document.write( "which in plain English reads: x is the set of all real numbers except  \r
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document.write( "So our domain looks like this in interval notation\r
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document.write( "![](\"/cgi-bin/rendertex.cgi?\Large) \r
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document.write( "note: remember, the parenthesis excludes 5 from the domain\r
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document.write( "-------------\r
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document.write( "ii)\r
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document.write( " Vertical Asymptote: \r
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document.write( "To find the vertical asymptote, just set the denominator equal to zero and solve for x\r
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document.write( " Set the denominator equal to zero\r
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document.write( "Subtract 5 from both sides\r
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document.write( " Combine like terms on the right side\r
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document.write( " Divide both sides by -1 to isolate x\r
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document.write( " Divide\r
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document.write( "So the vertical asymptote is \r
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document.write( "iii)\r
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document.write( "Looking at the numerator  , we can see that the degree is  since the highest exponent of the numerator is . For the denominator  , we can see that the degree is  since the highest exponent of the denominator is .\r
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document.write( " Horizontal Asymptote: \r
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document.write( "Since the degree of the numerator (which is ) is less than the degree of the denominator (which is ), the horizontal asymptote is always  \r
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document.write( "So the horizontal asymptote is \r
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document.write( "Notice if we graph  , we can visually verify our answers:\r
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document.write( " Graph of  with the horizontal asymptote (blue line) and the vertical asymptote (green line)\r
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document.write( "iv)\r
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document.write( " Start with the given function.\r
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document.write( " Switch x and f(x)\r
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document.write( " Multiply both sides by  .\r
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document.write( " Distribute\r
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document.write( " Subtract  from both sides.\r
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document.write( " Divide both sides by  .\r
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document.write( " Reduce.\r
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document.write( " Rearrange the terms.\r
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document.write( "So the inverse function is \r
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