document.write( "Question 1167054: What is the inverse function of f(x)=sqrt(5+8x)? \n" ); document.write( "

Algebra.Com's Answer #791650 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "This function is one for which there is an easy alternative to the standard method for finding an inverse.

\n" ); document.write( "The given function does the following to the input:
\n" ); document.write( "(1) multiply by 8
\n" ); document.write( "(2) add 5
\n" ); document.write( "(3) take the square root

\n" ); document.write( "The inverse function has to \"get you back where you started\"; to do that, it has to perform the opposite operations on the input, in the reverse order:
\n" ); document.write( "(1) square it $\"x%5E2\"$
\n" ); document.write( "(2) subtract 5 $\"x%5E2-5\"$
\n" ); document.write( "(3) divide by 8 $\"%28x%5E2-5%29%2F8\"$

\n" ); document.write( "The inverse function is

\n" ); document.write( " $\"f%28x%29+=+%28x%5E2-5%29%2F8\"$

\n" ); document.write( "Of course the domain of the function is restricted by the restriction on the domain of the given function.

\n" ); document.write( " \n" ); document.write( "

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