document.write( "Question 962124: Graph f(x) = (-logbase5*(2x)) -1\r
\n" ); document.write( "\n" ); document.write( "Could someone please walk me though each step? I understand that the graph is reflected over the x-axis, and that the whole thing is translated down one unit. However, I don't know how to figure out each point that I need.\r
\n" ); document.write( "\n" ); document.write( "Thank you for your help! \n" ); document.write( "

Algebra.Com's Answer #587792 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+f%28x%29+=+-log%28+5%2C%28+2x+-+1+%29+%29+\"$
\n" ); document.write( "Multiply both sides by $\"+-1+\"$
\n" ); document.write( " $\"+-f%28x%29+=+log%28+5%2C%28+2x+-+1+%29+%29+\"$
\n" ); document.write( "I can say $\"+y+=+f%28x%29+\"$ ,
\n" ); document.write( "and the inverse of this is:
\n" ); document.write( " $\"+2x+-+1+=+5%5E%28-y%29+\"$
\n" ); document.write( "The graph doesn't exist when
\n" ); document.write( " $\"+2x+-+1+%3C=+0+\"$
\n" ); document.write( " $\"+2x+%3C=+1+\"$
\n" ); document.write( " $\"+x+%3C=+1%2F2+\"$
\n" ); document.write( "----------------
\n" ); document.write( " $\"+y+=+0+\"$
\n" ); document.write( " $\"+x+=+1+\"$
\n" ); document.write( "-----------
\n" ); document.write( " $\"+y+=+-1+\"$
\n" ); document.write( " $\"+x+=+3+\"$
\n" ); document.write( "etc.
\n" ); document.write( "-----------
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-3%2C+6%2C+-3%2C+6%2C+-log%28+5%2C+%282x-1+%29%29++%29+\"$ \n" ); document.write( "

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