x-2/x2-1
This equation is a function or not?
each value of x maps into a specific y value. Yes, except the function is not defined for x=1
what is the domain?
domain is all real numbers except x=+-1
What is the inverse function of these function?
f(x)= 1/x^2-1
f(x)= x 2/3-3
What is the inverse function of these functions?
f(x)= 1/x^2-1
f(x)= x 2/3-3
The perimeter of a rectangle is 72 inches. Its length is three and a half times the width. Calculate Your Dimensions.
To determine whether the given equation is a function or not, we should check if there is a unique output value for every possible input value.
The equation you provided is: (x - 2) / (x^2 - 1)
First, we need to identify any potential values that might cause the denominator (x^2 - 1) to be equal to zero, as dividing by zero is undefined. Let's solve the denominator equation:
x^2 - 1 = 0
Factoring, we have:
(x + 1)(x - 1) = 0
So, the values of x that make the denominator zero are x = 1 and x = -1.
Now, we need to analyze what happens to the output of the equation when x approaches these values.
When x approaches 1, the equation becomes (1 - 2) / (1^2 - 1) = -1 / 0, which is undefined.
Similarly, when x approaches -1, the equation becomes (-1 - 2) / ((-1)^2 - 1) = -3 / 0, which is also undefined.
Since there are values of x for which the equation becomes undefined, we can conclude that the equation (x - 2) / (x^2 - 1) is not a function.