What is the range of the function r(x)-1/(1-x)^2? Express your answer in interval notation. Thank you!
looks like some kind of typo
did you mean:
r(x) = 1/(1-x)^2 ?
If your school ofrefs Statistics as a course, you could try that instead of pre-calculus. Or, if there is a local community college, you can easily enroll in a math class there instead of at your high school. In order to make sure your school accepts credits from courses taken in a community college, you need to talk to the school administration.Online classes are also a solution, but they tend to be more expensive than community college (since those are subsidized by the state for high schoolers, or at least in California). You also have a decreased student-teacher interaction with online courses.Mom teaching you math will most likely not give you any math credit. Your mom can help/tutor you while you take a math class, but, generally, your mom can't teach you math and get credit for it.Hope this helps!
To find the range of the function r(x) = 1/(1-x)^2, we need to determine all possible values that the function can take on.
First, note that the function is defined for all real numbers except for the value of x that makes the denominator zero. In this case, the denominator 1-x must not equal zero, so x ≠ 1.
Next, observe that the function involves raising the number 1-x to the power of 2, meaning it will always produce a positive value. Therefore, the function will never equal or be less than 0.
Considering these points, we can conclude that the range of the function r(x) = 1/(1-x)^2 is all positive real numbers greater than zero.
Expressing this in interval notation, we write: (0, ∞). The parentheses indicate that the endpoints, 0 and infinity, are not included in the range.