Question

Let f(x)=e^x and g(x)=x+6. what are the domain and range of (g*f)(x)?​

Answer 1

(f of g)(x)=f(g(x))=f(x-3)=e^(x-3)

The domain of a real exponential function is all real, and

the corresponding range is y>0, i.e. (0,+∞)

Explanation: