Question

Question #fa530

Answer 1

The answer depend upon what was intended by the given expression (see below).

Explanation:

Interpretation 1
Given
`color(white)("XXX")(3x)/x * (x^2-49)`

We note that the expression is not defined for `x=0`
otherwise the expression is equivalent to `3(x^2-49)` and is defined for all Real values of `x`
i.e. the Domain is `RR-{0}`

Interpretation 2
Given
`color(white)("XXX")(3x)/(x(x^2-49))`
Again we note that the expression is undefined if `x=0`
but we additionally note that it is also undefined if `x^2-49=0`, that is if `x=+-7`

The Domain in this case would be `RR-{-7,0,+7}`