Question

Which function has a domain of {x | x > 8}?

Answer 1

Answer:

$\sqrt{x-8}$

Step-by-step explanation:

The domain is given in the set-builder form and it is the set of all real numbers greater than 8.

i.e., the domain is (8, ∞).

Now, consider the function f(x) = $\sqrt{x-8}$. This function accepts all real numbers greater than 8 as input.

But, for values less than 8, the output is not real.

Hence, $\sqrt{x-8}$ is the required function.