document.write( "Question 210152: find the inverse of y=x^2/10. then state whether the inverse is a function. \n" ); document.write( "

Algebra.Com's Answer #158859 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
find the inverse of y = x^2/10
\n" ); document.write( ":
\n" ); document.write( "Swap y and x, find y
\n" ); document.write( " $\"y%5E2%2F10\"$ = x
\n" ); document.write( "Multiply both sides by 10
\n" ); document.write( "y^2 = 10x
\n" ); document.write( ":
\n" ); document.write( "y = +/- $\"sqrt%2810x%29\"$ ; not a function as you can see:
\n" ); document.write( ":
\n" ); document.write( "Original equation
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%5E2%2F10%29+\"$
\n" ); document.write( ":
\n" ); document.write( "Inverse, fails the vertical line test
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+sqrt%2810x%29%2C+-sqrt%2810x%29%29+\"$ \n" ); document.write( "

\n" );