If s (x) = x-7 and t (x) = 4^2-x+3 what is equivalent to (t•s) (x)

Question

Mathematics

Bullwinkle

24 April, 05:29

If s (x) = x-7 and t (x) = 4^2-x+3 what is equivalent to (t•s) (x)

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Anderson Johnson · Answer 1

Hello!

If s (x) = x - 7 and t (x) = 4² - x + 3, find (t · s) (x) is also known as a composite function. (t · s) (x) is read as "t is composed of s", or "the composition of t and s".

(t · s) (x) = 4² - (x - 7) + 3

(t · s) (x) = 16 - x + 7 + 3

(t · s) (x) = - x + 16 + 7 + 3

(t · s) (x) = - x + 26

Therefore, (t · s) (x) = - x + 26.