If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (sºt)(-7)?

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the functions:

s(x) = 2 – x^2 and t(x) = 3x

Determine the equivalent value of 

(sºt)(-7)

Solution:

The given condition is a composition function, whereas we substitute the values of t to s, then change x to -7.

(sºt)(-7) = 2 - (3(-7))^2

(sºt)(-7) = 2 - (-21)^2

(sºt)(-7) = 2 - (441)^2

(sºt)(-7) = 2 - 441

(sºt)(-7) = -439

Final answer:
(sºt)(-7) = -439