Hi! Sorry.. but 1 more question?
Direction: Find the domain of the function.
Problem: y = - 1 0 / 1 1 - x
[A] All real numbers except x= -11
[B] All real numbers except x= 0
[C] All real numbers except x= 10
[D] All real numbers except x= 11
Also.... if the person answering happens to be the person who answered my other questions... can you answer my question to your answer please?
Thank You.
I'm not sure since I haven't done this in a long time but...
I think the answer is D
since the denominator can't be 0.
Actually now I'm sure it's D since the denominator can't be negative but if you plug in a number greater than 11 the negative would be canceled out by the - on the -10
To find the domain of the function, we need to consider the values of x that will result in a valid output for y. In this case, we have the function y = (10 / (1 - x)).
To determine the domain, we need to consider any restrictions that may occur. The only restriction is that the denominator, 1 - x, cannot be equal to 0. If it were, we would have division by zero, which is undefined.
So, to find the domain, we need to solve the equation 1 - x = 0 for x.
1 - x = 0
x = 1
Therefore, the function is undefined for x = 1. This means that x = 1 is not included in the domain.
The domain of the function is then all real numbers except x = 1.
Looking at the given options, the correct answer is [B] All real numbers except x = 0, not [D] All real numbers except x = 11.
Feel free to ask any follow-up questions!
To find the domain of a function, we need to determine the set of values that x can take in order for the function to be defined.
In this case, we have the function y = -10/(11 - x). The key thing to consider is that the denominator should not be zero, as division by zero is undefined.
To determine the values of x that make the denominator zero, we can set it equal to zero and solve for x. So, we have:
11 - x = 0
Solving this equation, we find:
x = 11
Therefore, x cannot be equal to 11, as it would result in division by zero. So, the domain of the function is all real numbers except x = 11.
Therefore, the correct answer is:
[D] All real numbers except x = 11.
If you have any further questions or need clarification, feel free to ask!