document.write( "Question 79504: I really need some help on this question.
\n" ); document.write( "from the information in the table providing values of f(x) and g(x), evaluate (f o g)^-1(3)
\n" ); document.write( "x 1 2 3 4 5
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\n" ); document.write( "f(x) 5 3 5 1 2
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\n" ); document.write( "g(x) 4 5 1 3 2\r
\n" ); document.write( "\n" ); document.write( "a. 1
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Algebra.Com's Answer #57057 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( ": I really need some help on this question.\r\n" );
document.write( "from the information in the table providing \r\n" );
document.write( "values of f(x) and g(x), evaluate (f o g)^-1(3)\r\n" );
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document.write( "  x  1 2 3 4 5\r\n" );
document.write( "___________________________________________\r\n" );
document.write( "f(x) 5 3 5 1 2\r\n" );
document.write( "____________________________________________\r\n" );
document.write( "g(x) 4 5 1 3 2 \r\n" );
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document.write( "You must have made a mistake because f(x) is\r\n" );
document.write( "not a one-to-one function since f(1) = 5 and\r\n" );
document.write( "also f(4) = 5.\r\n" );
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document.write( "I will assume the first 5 on f(x) above should\r\n" );
document.write( "have been a 4; otherwise inverses involving f\r\n" );
document.write( "does not exist. Making that change:\r\n" );
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document.write( "x    1 2 3 4 5\r\n" );
document.write( "___________________________________________\r\n" );
document.write( "f(x) 4 3 5 1 2\r\n" );
document.write( "____________________________________________\r\n" );
document.write( "g(x) 4 5 1 3 2 \r\n" );
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document.write( "From the above we get this\r\n" );
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document.write( "f(1) = 4     g(1) = 4\r\n" );
document.write( "f(2) = 3     g(2) = 5\r\n" );
document.write( "f(3) = 5     g(3) = 1\r\n" );
document.write( "f(4) = 1     g(4) = 3\r\n" );
document.write( "f(5) = 2     g(5) = 2\r\n" );
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document.write( "(fog)(1) = f( g(1) ) = f(4) = 1\r\n" );
document.write( "(fog)(2) = f( g(2) ) = f(5) = 2\r\n" );
document.write( "(fog)(3) = f( g(3) ) = f(1) = 4\r\n" );
document.write( "(fog)(4) = f( g(4) ) = f(3) = 5\r\n" );
document.write( "(fog)(5) = f( g(5) ) = f(2) = 3\r\n" );
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document.write( "(fog)(1) = 1 so (fog)-1(1) = 1\r\n" );
document.write( "(fog)(2) = 2 so (fog)-1(2) = 2\r\n" );
document.write( "(fog)(3) = 4 so (fog)-1(4) = 3\r\n" );
document.write( "(fog)(4) = 5 so (fog)-1(5) = 4\r\n" );
document.write( "(fog)(5) = 3 so (fog)-1(3) = 5\r\n" );
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document.write( "Therefore (fog)-1(3) = 5, choice d.\r\n" );
document.write( "That is, of course, based on your having made\r\n" );
document.write( "an error in your copying.  I may have guessed\r\n" );
document.write( "what it should have been incorrectly.  Also\r\n" );
document.write( "it is not necessary to find ALL the values of\r\n" );
document.write( "(fog)-1, but since you are\r\n" );
document.write( "learning, I thought it better to find \r\n" );
document.write( "everything you could have been asked.\r\n" );
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document.write( "Perhaps you were supposed to use the formula:\r\n" );
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document.write( "(fog)-1(x) = (g-1o f-1)(x) \r\n" );
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document.write( "If so then you could have just done this:\r\n" );
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document.write( "(fog)-1(3) = (g-1o f-1)(3) = g-1( f-1(3) ) = g-1(2) = 5\r\n" );
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document.write( "Edwin
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