Question

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

Answer 1

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

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

$g(x) = -f(x)$ (1)

Where:

• $f(x)$ - Original function.
• $g(x)$ - Reflected function.

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

$g(x) = - (3\cdot x + 2)$

$g(x) = -3\cdot x - 2$

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

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