Question

I think this is a easy trick question, so I probably know the answer but I just wanted to double check.
What is the domain and range of the function f(x) = 3^x

Find the f^-1 and its domain and range?

Thanks for your help.

Answer 1

domain: any real number
range: any real number > 0

for the domain of the inverse function, since you interchange the x and the y,
the range of the old becomes the domain of the inverse, and vice versa.

Answer 2

Thank you - that is exactly what I thought!