Answer:
The correct answer option is -439.
Step-by-step explanation:
We are given the following two functions and we are to find the value of [tex]( s o t ) ( -7 ) [/tex]:
[tex] s ( x ) = 2 - x ^ 2 [/tex] and [tex] t ( x ) = 3 [/tex]
[tex](s o t)(x)=s(t(x))[/tex]
[tex](s o t)(-7)=s(t(-7))[/tex]
[tex]x=-7[/tex] → [tex]t(-7)=3(-7)[/tex] → [tex]t(-7)=-21[/tex]
[tex](s o t)(-7)=s(t(-7))=s(-21)[/tex]
[tex]x=-21[/tex] → [tex]s(-21)=2-(-21)^2=2-441[/tex] → [tex]s(-21)=-439[/tex]
[tex](s o t)(-7)=s(t(-7))=s(-21)=-439[/tex]
