document.write( "Question 720372: What is the inverse function of f[x]=x^3+3 and verify that f and f^-1 are inverse functions. \n" ); document.write( "

Algebra.Com's Answer #441844 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
What is the inverse function of f[x]=x^3+3 and verify that f and f^-1 are inverse functions.
\n" ); document.write( "y = x^3 + 3
\n" ); document.write( "swap x and y and solve for y
\n" ); document.write( " y^3 + 3 = x
\n" ); document.write( " y^3 = x - 3
\n" ); document.write( "find the cube root of both sides
\n" ); document.write( "y = (x-3)^(1/3)
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( "when x = 1, y = 4 in the original equation
\n" ); document.write( "when x = 4, y = 1 in the inverse equation \n" ); document.write( "

\n" );