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If p(x) = 4 + 2*sqrt(x + 2) and g(x) = 5 - 10x, then what is the largest constant such that p(g(a)) is defined?

 Dec 8, 2020
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g(a)  = 5 -10a

 

p (g(a))     =        4  + 2 sqrt [  ( 5 -10a)  + 2  ]   =  4 + sqrt [ 7 - 10a ] 

 

The function in the radical cannot  evaluate to <  0....therefore...

 

a ≤  7/10

 

cool cool cool

 Dec 8, 2020

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