document.write( "Question 1181042: What is the inverse of this function \r
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\n" ); document.write( "\n" ); document.write( "y = 3- \frac{ 3 }{ 2 } \sqrt{ x+4 } \n" ); document.write( "

Algebra.Com's Answer #810844 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " $\"y=3+-+%283%2F2%29+sqrt%28x+%2B+4%29\"$ .........to find inverse, swap variables first\r
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\n" ); document.write( "\n" ); document.write( " $\"x=3+-+%283%2F2%29+sqrt%28y+%2B+4%29\"$ ...........solve for $\"y\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%283%2F2%29+sqrt%28y+%2B+4%29=3+-+x\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%28y+%2B+4%29=3%2F%283%2F2%29++-+x%2F%283%2F2%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%28y+%2B+4%29=2+-2x%2F3\"$ ..........square both sides \r
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\n" ); document.write( "\n" ); document.write( " $\"y+%2B+4=%282+-2x%2F3%29%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+%2B+4=%284%2F9%29x%5E2+-+%288%2F3%29x+%2B+4\"$ ...simplify\r
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\n" ); document.write( "\n" ); document.write( " $\"y\"$ ’ = $\"%284%2F9%29x%5E2+-+%288%2F3%29x+\"$ =>inverse\r
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