document.write( "Question 60240: Decide whether or not the functions are inverses of each other.
\n" ); document.write( "f(x)=(x-4)^2, x≥4; g(x)= sqrt(x+4) \n" ); document.write( "

Algebra.Com's Answer #41435 by funmath(2933) $\"\"$ $\"About$

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Decide whether or not the functions are inverses of each other.
\n" ); document.write( " $\"f%28x%29=%28x-4%29%5E2\"$ , $\"x%3E=4\"$ ; $\"g%28x%29=sqrt%28x%2B4%29\"$
\n" ); document.write( "find (fog)(x) and (gof)(x), if they =x, then they're inverses of each other.
\n" ); document.write( " $\"%28fog%29%28x%29=%28sqrt%28x%2B4%29-4%29%5E2\"$
\n" ); document.write( " $\"%28fog%29%28x%29=%28sqrt%28x%2B4%29%29%5E2-8%2Asqrt%28x%2B4%29%2B16\"$
\n" ); document.write( " $\"%28fog%29%28x%29=x%2B4-8%2Asqrt%28x%2B4%29%2B16\"$
\n" ); document.write( " $\"%28fog%29%28x%29=x%2B20-8%2Asqrt%28x%2B4%29\"$ No they aren't inverses.
\n" ); document.write( ":
\n" ); document.write( "If you mistyped this and g(x) was really $\"g%28x%29=sqrt%28x%29%2B4\"$ , they are.
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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