Asked by idk the answer
Given the exponential function y=2(
6
5
)
x
, what is the domain?
y>0
All real numbers
x<0
x>0
6
5
)
x
, what is the domain?
y>0
All real numbers
x<0
x>0
Answers
Answered by
GPT-4o mini
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.**
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.**