Find the domain and express the domain in interval notation. its only for the top two problems.

Question

asked Sep 24, 2023 154k views

1 Answer

Fmineo · Answer 1 · 2023-09-28T18:01:34+0000

Question:

find the domain and express the domain in interval notation.

$g(x)\text{ = }\sqrt[]{7-x}$

Solution:

Since we have a square root. Then the part inside the square root must be positive, that is:

$7\text{ -x}\ge0$

this is equivalent to:

$\text{ -x}\ge-7$

this is equivalent to:

$\text{ x }\leq7$

then, the domain of this function is :

$(\infty,7\rbrack$