document.write( "Question 153022: show that ((( f(x)=3x-4 and g(x)=(x+4)/3 ))) are inverses \n" ); document.write( "
Algebra.Com's Answer #112475 by jim_thompson5910(35256)\"\" \"About 
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\"f%28x%29=3x-4\" Start with the first function.\r
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\n" ); document.write( "\n" ); document.write( "\"f%28g%28x%29%29=3%28%28x%2B4%29%2F3%29-4\" Plug in \"g%28x%29=%28x%2B4%29%2F3\".\r
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\n" ); document.write( "\n" ); document.write( "\"f%28g%28x%29%29=x%2B4-4\" Multiply \r
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\n" ); document.write( "\n" ); document.write( "\"f%28g%28x%29%29=x\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"g%28x%29=%28x%2B4%29%2F3\" Start with the second function.\r
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\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29=%283x-4%2B4%29%2F3\" Plug in \"f%28x%29=3x-4\" \r
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\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29=%283x%29%2F3\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29=x\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Since \"f%28g%28x%29%29=x\" and \"g%28f%28x%29%29=x\", this shows that the two functions are inverses of one another.
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