Answer:
The range of g(x) is all real numbers less than 0.
Explanation:
Consider the given function:
[tex]f(x)=\frac{1}{2}(2.5)^x[/tex]
The range of a function is the set of all output values.
As it is given that function f(x) reflected across x axis, thus
[tex]g(x)=-f(x)[/tex]
[tex]g(x)=-\frac{1}{2}(2.5)^x[/tex]
Now consider the provided graph of g(x):
Here, the set of values that are produced by the function g(x) is lies between -∞ to 0.
Therefore, the range of g(x) is all real numbers less than 0.
