Answer:
We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Step-by-step explanation:
If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
For example, let the function
It is clear that the given function becomes undefined at x = 3 in the denominator.
i.e. 3-3 = 0
It means, the function can not have x = 3, otherwise, the function will become undefined.
In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.
Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let (2n-1) and (2n+1) be the consecutive, odd numbers.
(2n-1)(2n+1) = 143
4n² - 1 = 143
4n² = 144
n² = 36
n = 6
2n-1 = 11
2n+1 = 13
The numbers are 11 and 13.
Example 1 – Solve: 3x3 = 12x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
 3x^3-12=0
Step 2: Use a factoring strategies to factor the problem.
 3x(x^2-4)=0
3x(x+2)(x-2)=0
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
 3x=0 or x+2=0 or x-2=0
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
 x=0 or x=-2 or x=
I hope this helped you!
