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?
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
