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

 Jul 22, 2022
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P ( G(x)) =  4 + 2 / sqrt [ 4-8x + 2]   =  4 + 2 /sqrt [ 6 - 8x]

 

6 - 8x  ≥  0

 

6 ≥ 8x

 

x ≤  6/8   

 

x ≤   3/4

 

Then

 

a ≤  3/4

 

cool cool cool

 Jul 22, 2022

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