Respuesta :

The output values of ​g(​-6), ​g(1​), and ​g(8​) in the given piecewise function are -1, 6 and -6 respectively.

What are the output values of g(​-6), ​g(1​), and ​g(8​) in the given piecewise function?

Given the piecewise function in the question;

                   x + 5, for x ≤ 1

  • g(x) = {

                   2 - x, for x > 1

  • g(​-6) = ?
  • ​g(1​) = ?
  • ​g(8​) = ?

Determine the output value of g(-6), -6 falls in the domain of x ≤ 1,

Hence;

g(x) = x + 5

g(-6) = -6 + 5

g(-6) = -1

Determine the output value of g(1), 1 falls in the domain of x ≤ 1,

Hence;

g(x) = x + 5

g(1) = 1 + 5

g(1) = 6

Determine the output value of g(8), 8 falls in the domain of x > 1,

Hence;

g(x) = 2 - x

g(8) = 2 - 8

g(8) = -6

Therefore the output values of ​g(​-6), ​g(1​), and ​g(8​) in the given piecewise function are -1, 6 and -6 respectively.

Learn more about piecewise function here: https://brainly.com/question/12700952

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