Find the domain & range of the following function:

Question

Find the domain & range of the following function:

y = 2(3^ x - 1)

Answer 1

The domain of exponential function 3^x is all real numbers, and so is the domain of function y

The range of exponential function 3^x is all real numbers greater than 0, so the range of function y > -2

Note: if x=-infinity is included into consideration, then y ≥ -2

Answer 2

Domain is  R, and range is y≥ 2