document.write( "Question 424499: Q1:Let u belong to a and v belong to B where A={0,1,2,3,4,} and B={1,3,5,7,9}.
\n" ); document.write( "Let Q maps A > B such that v=u^2-1
\n" ); document.write( "Let D maps B > A such that v=v-3\r
\n" ); document.write( "\n" ); document.write( "Hint: Beware of co domains\r
\n" ); document.write( "\n" ); document.write( "Find the range of Q\r
\n" ); document.write( "\n" ); document.write( "Find Q
\n" ); document.write( "Find D
\n" ); document.write( "Determine whether Q is injective
\n" ); document.write( "Determine whether D is surjective
\n" ); document.write( "Determine whether Q has an inverse \r
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Algebra.Com's Answer #295903 by stanbon(75887)\"\" \"About 
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Q1:Let u belong to a and v belong to B where A={0,1,2,3,4,} and B={1,3,5,7,9}.
\n" ); document.write( "Let Q maps A to B such that v=u^2-1
\n" ); document.write( "Let D maps B to A such that u=v-3
\n" ); document.write( "Hint: Beware of co domains
\n" ); document.write( "Find the range of Q:::: {v|u^2-1 where u = 0,1,2,..,4) = {-1,0,3,8,15}
\n" ); document.write( "Find Q::: Q = {-1,0,3,8,15}
\n" ); document.write( "Find D::: D = {v|v= v-3} = {-2,0,2,4,6}
\n" ); document.write( "----
\n" ); document.write( "Determine whether Q is injective: (one-to-one): yes
\n" ); document.write( "Determine whether D is surjective: (onto): no
\n" ); document.write( "Determine whether Q has an inverse:: u = sqrt[v+1]
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \r
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