Question

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

Answer 1

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`