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

1 Answer

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.