domain and range of g(x)=7(9^x)-3

Question

Im Confused about this problem

Answer 1

The domain is the set of x-values for which the function has meaning. In this case x can be any real number - ℜ.

The range is he sect of y-values that is generated by the function. 9^x is always positive. 7(9^x) is positive. So at this time y > 0. The "-3" moves the function three units to the left. So the range is y > -3.