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# Function Composition

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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
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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
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Thank you!!

May 5, 2021
#3
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You're welcome. :))

=^._.^=

catmg  May 5, 2021