Answer:
The correct option is;
g(x) = Negative two-fifths(10)x
Step-by-step explanation:
The rule for the reflection across the x-axis is as follows;
Reflection about the x-axis
Pre-image point before reflection = (x, y)
Point of image after reflection = ((x, -y)
Therefore, the x coordinate remains the same while the y coordinate changes sign
For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have
Reflection about the x-axis
Pre-image point before reflection = (x, f(x))
Point of image after reflection = (x, g(x))
Hence g(x) = -f(x) = -2/5(10)x.
