Answer:
The domain is all real numbers
Step-by-step explanation:
we have
[tex]f(x)=-\frac{5}{6}(\frac{3}{5})^x[/tex]
This is a exponential function of the form
[tex]f(x)=a(b)^x[/tex]
where
a is the initial value
b is the base
r is the rate
b=(1+r)
In this problem we have
a=-5/6
b=3/5=0.6
r=0.6-1=-0.4=-40%
see the attached figure to better understand the problem
The domain is the interval -----> (-∞,∞)
The domain is all real numbers
The range is the interval ----> (-∞,0)
The range is all real numbers less than zero
