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If P(x) = 4+2*sqrt(x + 3) and G(x) = 4-8x, then what is the largest constant a such that P(G(a)) is defined?

 Jul 8, 2021

Best Answer 

 #1
avatar+2246 
+1

P(G(x)) = 4+2*sqrt((4-8x) + 3)

To make this defined, (4-8x) + 3 has to be non negative. 

(4-8x) + 3 >= 0 

7 >= 8x

7/8 >= x

 

=^._.^=

 Jul 8, 2021
 #1
avatar+2246 
+1
Best Answer

P(G(x)) = 4+2*sqrt((4-8x) + 3)

To make this defined, (4-8x) + 3 has to be non negative. 

(4-8x) + 3 >= 0 

7 >= 8x

7/8 >= x

 

=^._.^=

catmg Jul 8, 2021

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