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Verified Answer :

nobillionaireNobley

s(x) = 2 - x^2
t(x) = 3x
(s o t)(x) = s(t(x)) =  2 - (3x)^2 = 2 - 9x^2
(s o t)(-7) = 2 - 9(-7)^2 = 2 - 9(49) = 2 - 441 = -439

JeanaShupp

Answer:  a. -439

Step-by-step explanation:

Given: \(s(x)=2-x^2\text{ and }t(x)=3x\)

Now, the composite function is given by :

\(s\circ t(x)\\\\=s(t(x))\\\\=s(3x)\\\\=2-(3x)^2\\\\=2-9x^2\)

Now, put the value of x = -7, we get

\(s\circ t(-7)\\\\=s(t(-7))\\\\=2-9(-7)^2\\\\=2-9(49)\\\\=−439\)

Hence the value equivalent to \(s\circ t(-7)\text{ is }−439\).

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