document.write( "Question 1194862: Let 𝑓 be the function with correspondence rule 𝑓(𝑥) = (𝑥 − 1) ^3+ 2, determine the inverse function 𝑓^−1
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Algebra.Com's Answer #827137 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "if $\"f%28x%29+=+%28x+-+1%29%5E3%2B+2\"$ , then\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29+=y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=+%28x+-+1%29%5E3%2B+2\"$ .........swap variables\r
\n" ); document.write( "\n" ); document.write( " $\"x=+%28y+-+1%29%5E3%2B+2\"$ ...........solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-2=+%28y+-+1%29%5E3+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"root%283%2Cx-2%29=y-1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=root%283%2Cx-2%29%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1+=root%283%2Cx-2%29%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( "domain: { $\"x\"$ element $\"R\"$ : $\"x%3E=2\"$ }
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\n" ); document.write( " $\"desmos-graph-14\"$ \r
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