Respuesta :

(s o t)(-7) = s(t(-7)) = s(3(-7)) = s(-21) = 2 - (-21)^2 = 2 - 441 = -439

Step-by-step explanation:

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

[tex]t(x)= 3x[/tex]

To find [tex](sot)(-7)= s(t(-7))[/tex]

First we find t(-7) and then we plug it in s(x)

[tex]t(x)= 3x[/tex], plug in -7 for x

[tex]t(-7)= 3(-7)=-21[/tex]

[tex](sot)(-7)= s(t(-7))=s(-21)[/tex], plug in -21 for x in s(x)

[tex]s(-21)= 2-(-21)^=-439[/tex]

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

If we are given with (s times t)(-7) we multiply it

[tex](s \cdot t)(-7)= s(-7) \cdot t(-7)[/tex]

t(-7) is -21

[tex]s(-7)= 2-(-7)^2= -47[/tex]

[tex](s \cdot t)(-7)= s(-7) \cdot t(-7)=-21 \cdot (-47)=987[/tex]