Question 1087365
<font color="black" face="times" size="3">It sounds like the given function is {{{g(x) = 5^(-x)}}} where the "-x" portion is the exponent. If so, then the domain of g is all real numbers because every real number <font color=red>makes sense as an exponent</font>. In other words, there are no restrictions because there are no things like dividing by zero or taking the square root of a negative number to worry about. 


As for the second part, it's not so clear. Something seems missing. The part "exponent of g has a minus sign" isn't the reason why the range is the set of positive numbers. The only thing left is "power of a positive real number" which makes a bit of sense, but it's not a complete sentence. It seems like it has been cut off. Please repost the full problem with that part not cut off, if you can. Thank you.


As a side note, here is the graph of g(x)
{{{ graph( 500, 500, -10, 10, -10, 10, 0,5^(-x)) }}}
Keep in mind that the graph NEVER touches the x axis. It simply gets closer and closer to the asymptote. The expression 5^(-x) will never equal zero no matter how big x gets.</font>