SOLUTION: 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}. Let Q maps A > B such that v=u^2-1 Let D maps B > A such that v=v-3 Hint: Beware of co doma

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}.
Let Q maps A > B such that v=u^2-1
Let D maps B > A such that v=v-3
Hint: Beware of co domains
Find the range of Q
Find Q
Find D
Determine whether Q is injective
Determine whether D is surjective
Determine whether Q has an inverse

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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}.
Let Q maps A to B such that v=u^2-1
Let D maps B to A such that u=v-3
Hint: Beware of co domains
Find the range of Q:::: {v|u^2-1 where u = 0,1,2,..,4) = {-1,0,3,8,15}
Find Q::: Q = {-1,0,3,8,15}
Find D::: D = {v|v= v-3} = {-2,0,2,4,6}
----
Determine whether Q is injective: (one-to-one): yes
Determine whether D is surjective: (onto): no
Determine whether Q has an inverse:: u = sqrt[v+1]
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Cheers,
Stan H.

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