Question

How do you find the range of `f(x)=3^(x+9)+4`?

Answer 1

The range is `x in (4;+oo)`

Explanation:

The exponential fonction `y=a^x` has a range of `(0;+oo)`.

The graph of function `y=3^(x+9)+4` is the graph `y=3^x` moved `9` units to the left and `4` units up. Moving a graph of a function with bounded values up increases the boundaries, so `f(x)` has only values greater than `4`.