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Question 10(Multiple Choice Worth 1 points)
(06.05 LC)
Given the functions f(x) = 6x + 11 and g(x) = x + 6, which of the following functions represents f[g(x)] correctly?
Of[g(x)] = 6x + 47
Of[g(x)] = 6x + 17
Of[g(x)] = 6x² + 47
Of[g(x)] = 6x² + 17

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 Answer:

 6x + 47

Step-by-step explanation:

Given following:

  • f(x) = 6x + 11
  • g(x) = x + 6

While solving these function sums, start from the right then head left.

⇒ f[g(x)]

⇒ f[x + 6]

⇒ 6(x + 6) + 11

⇒ 6x + 36 + 11

⇒ 6x + 47