document.write( "Question 903481: Hi,\r
\n" ); document.write( "\n" ); document.write( "Given f(x)=2x^3-7, find f^-1(x) \n" ); document.write( "

Algebra.Com's Answer #548161 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
When you have $\"f%5E-1\"$ it means that the question is asking you to find the $\"inverse\"$ . This means that the original function $\"f%28x%29=2x%5E3-7\"$ is reflected along the line $\"y=x+\"$ .
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\n" ); document.write( "so, what you do is change all the $\"x\"$ values to $\"y\"$ values and all the $\"y\"$ values to $\"x\"$ values( $\"f%28x%29\"$ is also known as $\"y\"$ )
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\n" ); document.write( "if $\"y=2x%5E3-7\"$ then $\"f%28x%29%5E-1\"$ is:
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\n" ); document.write( " $\"x=2y%5E3-7\"$ \r
\n" ); document.write( "\n" ); document.write( " solve for $\"y+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B7=2y%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B7%29%2F2=y%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+root%283%2C%28x%2B7%29%2F2%29+=y\"$ \r
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\n" ); document.write( "\n" ); document.write( " so $\"f%28x%29%5E%28-1%29+=+root%283%2C%28x%2B7%29%2F2%29+\"$ or $\"f%28x%29%5E%28-1%29+=+root%283%2C%28x%2B7%29%29%2Froot%283%2C2%29%29\"$ \r
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