Question

How do you find the domain and range of `g(x)=5^x`?

Answer 1

Domain: `-oo<"x"<+oo`
Range: `g(x)>0`

Explanation:

From the given equation, `g(x)=5^x`, all real values of x may be use in the equation. The domain is `(-oo, +oo)`

For the range, whether the value of x is positive or negative, there can never be a value of `g(x)` that is 0 or lower than 0. That is `g(x)>0`

See the graph of `g(x)=5^x`

graph{y=5^x[-20,20,-10,10]}

God bless...I hope the explanation is useful.