kennalain4 kennalain4
  • 11-09-2020
  • Mathematics
contestada

If s(x) = x - 7 and t(x) = 4x2 – X + 3, which expression is equivalent to (tºs)(x)?

Respuesta :

jimrgrant1 jimrgrant1
  • 11-09-2020

Answer:

4x² - 57x + 206

Step-by-step explanation:

To evaluate (t ○ s)(x), substitute x = s(x) into t(x) , that is

t(x - 7)

= 4(x - 7)² - (x - 7) + 3 ← expand (x - 7)² using FOIL

= 4(x² - 14x + 49) - x + 7 + 3

= 4x² - 56x + 196 - x + 10 ← collect like terms )

= 4x² - 57x + 206

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