document.write( "Question 929877: How do you determine whether a pair of functions are inverse if one of the functions contains an exponent like this one? f(x)=x^2-9 and g(x)=x+3 \n" ); document.write( "

Algebra.Com's Answer #564542 by Fombitz(32388) $\"\"$ $\"About$

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Functions $\"f\"$ and $\"g\"$ are inverses if $\"f%28g%29=g%28f%29=x\"$
\n" ); document.write( " $\"f%28g%29=%28x%2B3%29%5E2-9=%28x%5E2%2B6x%2B9%29-9=x%5E2%2B6x\"$ <-- Not equal to $\"x\"$ .
\n" ); document.write( " $\"g%28f%29=%28x%5E2-9%29-3=x%5E2-12\"$ <--- Also not equal to $\"x\"$ .
\n" ); document.write( "They are not inverses. \n" ); document.write( "

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