Question

For the pair of functions find the indcated domain
f(x)=2x-5, g(x)=square root x+3
find the domain of f/g

Answer 1

\[f(x)=2x-5, g(x)\sqrt{x+3}\]

Answer 2

there is an = sign between the g(x) and the square root

Answer 3

It is asking the domain of \[\frac{f(x)}{g(x)} ?\]

Answer 4

ya

Answer 5

\[\frac{2x-5}{\sqrt{x+3}}\]

Conditions:

\[\sqrt{x+3} \neq 0 \rightarrow x \neq-3\]
\[x+3 \ge 0 \rightarrow x \ge -3\]

Merging them both you get...

\[x > -3\]

So your function is defined in...

\[(-3;+\infty)\]