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avatar+184 

If $P(x) = 4+2\sqrt{x+2}$ and $G(x) = 4-3x$, then what is the largest constant $a$ such that $P(G(a))$ is defined? 

 May 5, 2021
 #1
avatar+1971 
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P is defined when sqrt(x+2) is defined, so when x + 2 >= 0, so the smallest x = -2. 

4 - 3x = -2

6 = 3x

x = 2

 

=^._.^=

 May 5, 2021
 #2
avatar+184 
0

Thank you!!

 May 5, 2021
 #3
avatar+1971 
0

You're welcome. :))

 

=^._.^=

catmg  May 5, 2021

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