what are the asymptotic discontinuities of the function f(x)=(2x + 9)/(2x)?
what are the asymptotic discontinuities of the function f(x)=(2x + 9)/(2x)?
Answer
Explanation:
Step1: Recall the definition of vertical asymptote
Vertical asymptotes occur where the denominator of a rational - function is zero and the numerator is non - zero. Set the denominator equal to zero: $2x = 0$.
Step2: Solve for x
Dividing both sides of the equation $2x = 0$ by 2, we get $x = 0$. Check the numerator at $x = 0$. When $x = 0$, the numerator $2x+9=2\times0 + 9=9\neq0$.
Answer:
$x = 0$