Given f(x) = x + 1 and g(x) = 3x – 5,
what are
the restrictions on the domain when f(x)/g(x)

Answer:
There will be an asymptote at [tex]x=\frac{5}{3}[/tex], meaning the domain is restricted from (-∞, [tex]\frac{5}{3}[/tex])U([tex]\frac{5}{3}[/tex], ∞).
Step-by-step 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:
[tex]3x-5=0[/tex]
[tex]3x=5[/tex]
[tex]x=\frac{5}{3}[/tex]
Then we can determine that there's an asymptote at [tex]x=\frac{5}{3}[/tex] but that is the only restriction.