Answer:
The function is
g(x) = 5^(-x)
This question can be easily solved by using a graphing calculator
and plotting the graph of g(x)
In the image below, we can see that for each value of x , there is a corresponding value for g(x)
This means that the function does not have any discontinuities. Therefore,
The domain of g(x) is all real numbers (x ∈ R)
The range is related to the values that can be achieved by g(x),
Since it is a positive exponential function, all values will be g(x)>0
And the range would be (0,∞)