Answer:
Given that,
[tex]f(x)=(\frac{1}{3})^x[/tex]To write the equation for the function that f(x) is transformed reflect in the x-axis.
we have the principal as,
y=-f(x) is the reflection of the graph y=f(x) in the x axis and y=f(-x) is the reflection of the graph y=f(x) in the y axis.
Here to find the equation reflect in the x axis
y=-f(x)
we get,
[tex]y=-f(x)=-(\frac{1}{3})^x[/tex]The required equation is,
[tex]f(x)=-(\frac{1}{3})^x[/tex]