document.write( "Question 691436: Determine which two functions are inverse of each other.
\n" ); document.write( "\"+f%28x%29=+%28x-7%29%2F3+\"
\n" ); document.write( "\"+g%28x%29=3x-7+\"
\n" ); document.write( "\"+h%28x%29=%28x-3%29%2F%28-7%29+\" \n" ); document.write( "
Algebra.Com's Answer #426733 by mouk(232)\"\" \"About 
You can put this solution on YOUR website!
A) \"+f%28x%29=+%28x-7%29%2F3+\", we find \"+f%5E%28-1%29%28x%29+\" by setting \"+y+=+%28x-7%29%2F3+\" and rearranging to make x the subject, so
\n" ); document.write( "\"+%28x-7%29%2F3+=+y+\"
\n" ); document.write( "\"+x-7+=+3y+\"
\n" ); document.write( "\"+x=3y%2B7+\"
\n" ); document.write( "and replacing y with x gives us the inverse
\n" ); document.write( "Hence, \"+f%5E%28-1%29%28x%29+=+3x%2B7\" \r
\n" ); document.write( "\n" ); document.write( "B) \"+g%28x%29=+3x-7+\", we find \"+g%5E%28-1%29%28x%29+\" by setting \"+y+=+3x-7+\" and rearranging to make x the subject, so
\n" ); document.write( "\"+3x-7+=+y+\"
\n" ); document.write( "\"+3x+=+y%2B7+\"
\n" ); document.write( "\"+x=%28y%2B7%29%2F3+\"
\n" ); document.write( "and replacing y with x gives us the inverse
\n" ); document.write( "Hence, \"+g%5E%28-1%29%28x%29+=+%28x%2B7%29%2F3+\" \r
\n" ); document.write( "\n" ); document.write( "C) \"+h%28x%29=+%28x-3%29%2F%28-7%29+\", we find \"+h%5E%28-1%29%28x%29+\" by setting \"+y+=+%28x-3%29%2F%28-7%29+\" and rearranging to make x the subject, so
\n" ); document.write( "\"+%28x-3%29%2F%28-7%29+=+y+\"
\n" ); document.write( "\"+x-3+=+-7y+\"
\n" ); document.write( "\"+x=3-7y+\"
\n" ); document.write( "and replacing y with x gives us the inverse
\n" ); document.write( "Hence, \"+h%5E%28-1%29%28x%29+=+3-7x+\" \r
\n" ); document.write( "\n" ); document.write( "Conclusion: none of the functions are inverses of each other. Is there a typo in the question? Let me know and I'll take another look.\r
\n" ); document.write( "\n" ); document.write( "Kind Regards, Steve.
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