for the function g x 23 7 325x I am looking for domain rang

for the function g (x) = 2/3 -7 (3^2-5x)
I am looking for domain, range, vertical and horizontal asymptotes and the x-intercept.
Thanks!

g (x) = 2/3 -7 (3^(2-5x))

I understand this is the given question:

x intercept : g(x) =0

2/3 -7 (3^(2-5x)) =0

7 (3^(2-5x)) = 2/3

3^(2-5x) = 2/21

x = 0.828

Domain : all real x ( - inf , inf)

No vertical asymtotes exist

Horizontal asymtote: y = 2/3 = 0.67