What number is not part of the domain of the function g(x)=x+2/x-1
How can you tell?
I am stuck.
1 is definitely not since the is a vertical asymptote at x=1 this can be figured out by finding what x values make the denominator equal to zero
To determine the numbers that are not part of the domain of the function g(x) = (x + 2) / (x - 1), we need to identify values of x that would make the denominator, x - 1, equal to zero. This is because division by zero is undefined in mathematics.
To find the value that makes the denominator zero, we set x - 1 equal to zero and solve for x:
x - 1 = 0
We can add 1 to both sides of the equation:
x = 1
Therefore, the number 1 is not part of the domain of the function g(x). This means that the function is undefined when x equals 1.
We can visually observe this by looking at the function g(x) = (x + 2) / (x - 1) as well. The graph of the function would have a vertical asymptote or a vertical line where x = 1. This indicates that the function is undefined at x = 1.
So, the number 1 is not part of the domain of the function g(x) = (x + 2) / (x - 1).
To determine the numbers that are not part of the domain of the function g(x) = (x + 2)/(x - 1), we need to identify any values of x that would make the denominator equal to zero.
In this case, if the denominator (x - 1) equals zero, we would have division by zero, which is undefined. Therefore, in order to find the number that is not part of the domain, we need to solve the equation (x - 1) = 0.
Solving for x, we add 1 to both sides of the equation:
x - 1 + 1 = 0 + 1
x = 1
So, the number not part of the domain of the function g(x) is x = 1.
Knowing this, we can say that any value of x other than 1 would be part of the domain of the function g(x).