Question

Given f(x) = x + 1 and g(x) = 3x – 5,

what are
the restrictions on the domain when f(x)/g(x)

Answer 1

There will be an asymptote at
`x=(5)/(3)`, meaning the domain is restricted from (-∞,
`(5)/(3)`)U(
`(5)/(3)`, ∞).

Explanation:

When finding domain restrictions for an equation that has a fraction, take the denominator and set it equal to 0. Then, solve for x:

`3x-5=0`

`3x=5`

`x=(5)/(3)`

Then we can determine that there's an asymptote at
`x=(5)/(3)` but that is the only restriction.