document.write( "Question 1186178: Find the inverse of the function, if it exists. Justify if is does not.
\n" ); document.write( "1.p(x)=3x+8
\n" ); document.write( "2.f(x)=x²+2x - 1
\n" ); document.write( "3.g(x)=2x+7
\n" ); document.write( "4.f(x)=x³ - 5
\n" ); document.write( "5.h(x)=x+2/2x - 3
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Algebra.Com's Answer #817066 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
Find the inverse of the function, if it exists. Justify if is does not.\r
\n" ); document.write( "\n" ); document.write( "1. \"p%28x%29=3x%2B8\"\r
\n" ); document.write( "\n" ); document.write( "\"p%28x%29=y\"
\n" ); document.write( "\"y=3x%2B8\"......swap variables
\n" ); document.write( "\"x=3y%2B8\"...solve for \"y\"
\n" ); document.write( "\"x-8=3y+\"
\n" ); document.write( "\"y=%28x-8%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "=>\"p\"'\"%28x%29=%28x-8%29%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "2. \"f%28x%29=x%5E2%2B2x+-+1\"\r
\n" ); document.write( "\n" ); document.write( "\"y=x%5E2%2B2x+-+1\".....swap variables
\n" ); document.write( "\"x=y%5E2%2B2y+-+1\"
\n" ); document.write( "\"x%2B1=y%5E2%2B2y\" ...complete square
\n" ); document.write( "\"x%2B1=%28y%5E2%2B2y%2Bb%5E2%29-b%5E2\".........b=1
\n" ); document.write( "\"x%2B1=%28y%2B1%29%5E2-1%5E2\"
\n" ); document.write( "\"x%2B1%2B1=%28y%2B1%29%5E2+\"
\n" ); document.write( "\"%28y%2B1%29%5E2=x%2B2\"
\n" ); document.write( "\"y%2B1=srt%28x%2B2%29\"
\n" ); document.write( "\"y=-1\" ± \"sqrt%28x+%2B+2%29\"
\n" ); document.write( "\"f\"'\"%28x%29=-1\" ± \"sqrt%28x+%2B+2%29\"\r
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\n" ); document.write( "\n" ); document.write( "3. \"g%28x%29=2x%2B7\"\r
\n" ); document.write( "\n" ); document.write( "\"y=2x%2B7\".....swap variables
\n" ); document.write( "\"x=2y%2B7\"
\n" ); document.write( "\"2y=x-7\"
\n" ); document.write( "\"y=%28x-7%29%2F2\"
\n" ); document.write( "\"g\"'\"%28x%29=%28x-7%29%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "4.\"f%28x%29=x%5E3+-+5\"\r
\n" ); document.write( "\n" ); document.write( "\"y=x%5E3+-5\"...swap variables
\n" ); document.write( "\"x=y%5E3+-+5\"
\n" ); document.write( "\"x%2B5=y%5E3\"
\n" ); document.write( "\"y=root%283%2Cx%2B5%29\"
\n" ); document.write( "\"f\"'\"%28x%29=root%283%2Cx%2B5%29\"\r
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\n" ); document.write( "\n" ); document.write( "5.\"h%28x%29=%28x%2B2%29%2F%282x-3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y=%28x%2B2%29%2F%282x-3%29\"...swap variables
\n" ); document.write( "\"x=%28y%2B2%29%2F%282y+-+3%29\"
\n" ); document.write( "\"x%282y+-+3%29=%28y%2B2%29\"
\n" ); document.write( "\"2xy+-+3x=y%2B2\"
\n" ); document.write( "\"2xy+-+y=3x%2B2\"
\n" ); document.write( "\"%282x+-+1%29y=3x%2B2\"
\n" ); document.write( "\"y=%283x%2B2%29%2F%282x+-+1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h\"'\"%28x%29=%283x%2B2%29%2F%282x+-+1%29\"\r
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