Question

Consider the functions f(x) = (four-fifths) Superscript x and g(x) = (four-fifths) Superscript x + 6. What are the ranges of the two functions? f(x): {y| y > } g(x): {y| y > }

Answer 1

Answer:

f(x): {y| y > 0 }

g(x): {y| y > 6 }

Step-by-step explanation:

Hope this helps!

Answer 2

Because both of these are exponential functions with positive bases, we conclude that the range for both is:

{y| y > 0}.

How to find the ranges of the two functions?

Here we have two exponential functions:

f(x) = (4/5)^x

g(x) = (4/5)^(x + 6).

You can see that both of these are exponential functions with positive bases, then neither of these can have negative outcomes, while, as x increases, the outcome will also increase.

Then we can see both functions are exponential growths, so the range for both of these are the set of all real positive values, written in both cases as:

{y| y > 0}

If you want to learn more about exponential functions, you can read:

https://brainly.com/question/11464095