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

Domain: $- \infty < \text{x} < + \infty$
Range: $g \left(x\right) > 0$

#### Explanation:

From the given equation, $g \left(x\right) = {5}^{x}$, all real values of x may be use in the equation. The domain is $\left(- \infty , + \infty\right)$

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

See the graph of $g \left(x\right) = {5}^{x}$

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

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