Domain function help?

I need Algebra 2 help. How do I find the domain of this function?

• If I'm given the function, f(x)=1/2(5)^(4-x) and I am asked to state the domain, what do I do? Do I have to graph it first then find the domain? Or is there a way to find the ...show more

• Answer:

  Is that 1 over everything else, or 1/2 times 5? Either way, I think domain would be all reals? (-oo,oo) negative infinity, positive infinity your domain is all of the possible x values, and i dont think there are any x values that would not result in a y value. like if you have 1/x x cannot be 0, because anything divided by 0 is infinite, or undefined, which means no value for y. y represents your function. f(x) is the same as y. It just means that y = (this) whenever x = (this). because this problem is multiplied times half it will get infinitely smaller. i think this is called an asymptote, where the x nor y value will never reach 0, tending towards infinity.