document.write( "Question 60238: If the function defines a one-to-one function, find the inverse.
\n" ); document.write( "f(x) = (x+2)^3 - 8 \n" ); document.write( "
Algebra.Com's Answer #41355 by uma(370)\"\" \"About 
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f(x) = (x+2)^3 - 8\r
\n" ); document.write( "\n" ); document.write( "Let y = (x+2)^3 - 8
\n" ); document.write( "To find the inverse first we interchange x and y and then solve for y.\r
\n" ); document.write( "\n" ); document.write( "So the given equation becomes..
\n" ); document.write( "x = (y+2)^3 - 8
\n" ); document.write( "==> x + 8 = (y+2)^3 - 8 + 8 [adding 8 to both the sides of the equality]
\n" ); document.write( "==> x + 8 = (y+2)^3
\n" ); document.write( "Taking cube root on both the sides,
\n" ); document.write( "(x + 8)^(1/3) = y+2
\n" ); document.write( "==> (x + 8)^(1/3)- 2 = y + 2 - 2 {adding -2 to both the sides]
\n" ); document.write( "==> (x + 8)^(1/3) - 2 = y \r
\n" ); document.write( "\n" ); document.write( "Thus the inverse of the given function is given by..\r
\n" ); document.write( "\n" ); document.write( "f^(-1)(x) = (x + 8)^(1/3)-2\r
\n" ); document.write( "\n" ); document.write( "Good Luck!!!\r
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