Respuesta :
all values of f(x) will change from positive to negative if you reflect in x-axis.
So the first choice is the correct one.
So the first choice is the correct one.
Answer:
A. [tex]g(x)=-\frac{2}{5}(10)^x[/tex].
Step-by-step explanation:
We are given the function [tex]f(x)=\frac{2}{5}(10)^x[/tex].
Now, g(x) is obtained by reflecting the function f(x) over x-axis.
Reflection of f(x) over x-axis changes f(x) to -f(x).
So, we get,
[tex]g(x)=-f(x)[/tex]
i.e. [tex]g(x)=-\frac{2}{5}(10)^x[/tex]
Thus, the reflected function is [tex]g(x)=-\frac{2}{5}(10)^x[/tex].
So, option A is correct.
