document.write( "Question 939679: determine if g is the inverse of f.\r
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\n" ); document.write( "\n" ); document.write( "f(x)=3x + 5; g(x)=1/3x - 5/3 \n" ); document.write( "

Algebra.Com's Answer #572716 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=3x+%2B+5\"$ ; $\"g%28x%29=%281%2F3%29x+-5%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "find inverse of $\"f%28x%29=3x+%2B+5\"$ \r
\n" ); document.write( "\n" ); document.write( "since
\n" ); document.write( " $\"f%28x%29=y\"$ we have\r
\n" ); document.write( "\n" ); document.write( " $\"y=3x+%2B+5\"$ ...swap $\"x\"$ and $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=3y+%2B+5\"$ ....solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-5=3y+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2F3-5%2F3=y+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=%281%2F3%29x+-5%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28x%29=%281%2F3%29x+-5%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "so, g $\"is\"$ the inverse of f\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3x+%2B+5%2C+%281%2F3%29x+-5%2F3%29+\"$ \r
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