document.write( "Question 318317: Find the inverse of y=7x^2-3 \n" ); document.write( "

Algebra.Com's Answer #227857 by Earlsdon(6294) $\"\"$ $\"About$

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Find the inverse of:
\n" ); document.write( " $\"y+=+7x%5E2+-+3\"$ Interchange the x and y.
\n" ); document.write( " $\"x+=+7y%5E2+-+3\"$ Solve for y. Add 3 to both sides.
\n" ); document.write( " $\"x%2B3+=+7y%5E2\"$ Divide both sides by 7.
\n" ); document.write( " $\"%28x%2B3%29%2F7+=+y%5E2\"$ Take the square root of both sides.
\n" ); document.write( " $\"sqrt%28%28x%2B3%29%2F7%29+=+y\"$ or $\"y+=+sqrt%28%28x%2B3%29%2F7%29\"$
\n" ); document.write( "The inverse of a function of x (f(x)) is often written as: $\"f%5E%28-1%29%28x%29\"$ so the answer can be written as:
\n" ); document.write( " $\"f%5E%28-1%29%28x%29+=+sqrt%28%28x%2B3%29%2F7%29\"$ \n" ); document.write( "

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