document.write( "Question 1132798: 3+(x+2)^5 what is the inverse of this equation. what are the steps I should take to achieve the answer? \n" ); document.write( "

Algebra.Com's Answer #749925 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!
The general steps are:\r
\n" ); document.write( "\n" ); document.write( "Let y = f(x), solve for x, then swap the roles of x and y (literally swap the letters) and you will have y = g(x) where g(x) is the inverse of f(x).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+y+=+3%2B%28x%2B2%29%5E5+\"$
\n" ); document.write( " $\"+y+-+3+=+%28x%2B2%29%5E5+\"$
\n" ); document.write( " $\"+root%285%2C%28y+-+3%29%29+=+%28x+%2B+2%29+\"$
\n" ); document.write( " $\"+%28root%285%2C%28y+-+3%29%29%29+-+2+=+x+\"$
\r
\n" ); document.write( "\n" ); document.write( "Inverse of $\"+3%2B%28x%2B2%29%5E5+\"$ is therefore:
\n" ); document.write( " $\"++highlight%28+y+=+%28root%285%2C%28x-3%29%29%29+-+2+%29+\"$
\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "g(f(x)) = x should hold true if g(x) is the inverse of f(x):\r
\n" ); document.write( "\n" ); document.write( "Substitute $\"+3%2B%28x%2B2%29%5E5+\"$ for \"x\" in the answer given:
\n" ); document.write( " $\"+%28root%285%2C%283%2B%28x%2B2%29%5E5%29-3%29%29+-+2+\"$ =

\n" ); document.write( " $\"+%28root%285%2C%28x%2B2%29%5E5%29%29-2+\"$ =

\n" ); document.write( " $\"++%28x%2B2%29-2+\"$ =

\n" ); document.write( " $\"+x+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );