Question

What is the range of the function f(x)=√x-8 + 6?Of(x) ≥-8O f(x) ≥-6Of(x) ≥ 6O f(x) ≥ 8

Answer 1

Hello!

We have the function below:

$f(x)=\sqrt{x-8}+6$

Let's analyze the graph of it:

Note that for the domain, it starts when x = 8.

For the range, it starts when y = 6.

So, the range of this function is:

$\begin{gathered} [6,+\infty) \\ \text{ or} \\ \boxed{f(x)\geqslant6} \end{gathered}$

Third alternative.