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Let g(x) be the reflection of f(x) = 3x + 2 in the x-axis. What is a function rule for g(x)?
Og(x) = 3x-2
Og(x)=-3x – 2
Og(x) = 3x + 2
Og(x) = -3x + 2
(PLEASE HELP!!!!)

Respuesta :

xero099

The reflection of [tex]f(x) = 3\cdot x + 2[/tex] in the x-axis is [tex]g(x) = -3\cdot x - 2[/tex]. The function used to derive [tex]g(x)[/tex] is: [tex]g(x) = -f(x)[/tex]. (Correct choice: [tex]g(x) = -3\cdot x - 2[/tex])

Mathematically speaking, a reflection in the x-axis is defined by the following expression:

[tex]g(x) = -f(x)[/tex] (1)

Where:

  • [tex]f(x)[/tex] - Original function.
  • [tex]g(x)[/tex] - Reflected function.

If we know that [tex]f(x) = 3\cdot x + 2[/tex], then the expression for [tex]g(x)[/tex] is:

[tex]g(x) = - (3\cdot x + 2)[/tex]

[tex]g(x) = -3\cdot x - 2[/tex]

The reflection of [tex]f(x) = 3\cdot x + 2[/tex] in the x-axis is [tex]g(x) = -3\cdot x - 2[/tex]. The function used to derive [tex]g(x)[/tex] is: [tex]g(x) = -f(x)[/tex].

We kindly invite to see this question on reflections: https://brainly.com/question/23558898

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