The domain of `5x-6` is, since this is a linear function, set of all real numbers. Domain of exponential function `e^x` is also set of all real numbers so the domain of your function `y=3e^(5x+6)` is **set of all real numbers** `RR.`

Range of linear function `5x-6` is set of all real numbers, but range of exponential function `3e^x` is set of all positive numbers `(0,+oo).` Hence the range of composition of those two functions,that is of your function `y=3e^(5x-6)` is **set of all positive numbers** `(0,oo).`

Graph of the function

The domain of a function y = f(x) is the set of values of x for which y is real and defined. The range of a function y = f(x) is the set of values of y for x lying in the domain.

For the function y = 3*e^(5x - 6), y is defined for all values of x. The domain of the function is the set of real numbers.

e is a positive number. It can therefore not take on any negative value or the value 0. This gives the range of the function as the set of positive real numbers.