Question

How do you find the domain and range of `f(x)= 2+ e^(x-5)`?

Answer 1

Look at the exponential function, then evaluate the range.

Explanation:

The domain or x-value be `(-oo, oo)` because the exponential function can accept any value for x.

At `x=-oo` the exponential will equal zero. So, the lower range is 2.

At `x=oo` the exponential will equal `oo`. So, the upper range is `oo`.

In summary:

domain`=(-oo, oo)`
range `=[2, oo)`

hope that helped