Respuesta :

Answer: Option A -439

(s o t)(x)=s(t(x))
(s o t)(-7)=s(t(-7))
x=-7→t(-7)=3(-7)→t(-7)=-21
(s o t)(-7)=s(t(-7))=s(-21)
x=-21→s(-21)=2-(-21)^2=2-441→s(-21)=-439
(s o t)(-7)=s(t(-7))=s(-21)=-439
Answer: Option A -439

Answer:

Option (a) is correct.

[tex]s(t(x))=-439[/tex]

Step-by-step explanation:

 Given :[tex]s(x) = 2- x^2[/tex] and [tex]t(x) = 3x[/tex]

We have to find the value of  (s t)(-7) and choose the correct option from the given options.

Consider the given function [tex]s(x) = 2- x^2[/tex] and [tex]t(x) = 3x[/tex]

and we have to find the value of (s t)(x) at x = -7

We first find the value of (st)(x) that is s(t(x))

Thus, [tex]s(t(x))=2-(3x)^2[/tex]

Simplify,

[tex]s(t(x))=2-9x^2[/tex]

We get, For x = -7 , we have,

[tex]s(t(-7))=2-9(-7)^2[/tex]

Simplify, we have,

[tex]s(t(-7))=2-441=-439[/tex]

Thus,  [tex]s(t(x))=-439[/tex]

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