Question

How do you simplify and find the restrictions for `(6)/(x+3)`?

Answer 1

See explanation

Explanation:

The function `6/(x+3)` will have a restricted domain at `x=-3`.

We know this because the denominator of our function cannot be `0` and to find what value this occurs, we set the denominator equal to `0` such that:

`x+3=0 -> x=-3`

What this tells us that the graph will have a vertical asymptote at `x=-3`

Thus our domain for this function is: `{x| x!= -3} or (-oo,-3) uu (-3,oo)`