Given the exponential function y=2(

Question

6
5
​
)
x
, what is the domain?

y>0

All real numbers

x<0

x>0

Answer 1

The given exponential function is \( y = 2 \left( \frac{6}{5} \right)^x \).

Exponential functions of the form \( a \cdot b^x \) (where \( a > 0 \) and \( b > 0 \)) are defined for all real numbers. In this case, \( a = 2 \) (which is greater than 0) and \( b = \frac{6}{5} \) (which is also greater than 0).

Therefore, the domain of the function \( y = 2 \left( \frac{6}{5} \right)^x \) is:

All real numbers.