document.write( "Question 185284: the inverse of f(x)=k(x^3+x-2) is a function and f^-1(-12)=-1. What is the value of k? \n" ); document.write( "

Algebra.Com's Answer #138983 by vleith(2983) $\"\"$ $\"About$

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Is the inverse function yields -1 when given -12 as input, then the original function yields -12 when given -1 as input.
\n" ); document.write( "So
\n" ); document.write( " $\"f%28x%29=k%28x%5E3%2Bx-2%29\"$
\n" ); document.write( " $\"-12+=+k%28%28-1%29%5E3+-1+-+2%29\"$
\n" ); document.write( " $\"-12+=+k+%28-4%29\"$
\n" ); document.write( " $\"k+=+3\"$ \n" ); document.write( "

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