PLEASE HELP ASAP! Will give BRAINLIEST! Please answer correctly! No guessing!
2 answers:
Answer:
D
Step-by-step explanation:
Since we are being asked to find the domain, we are only interested in the values of x, hence we can discard the options which give y-values (we can ignore option B)
If we plot the function, and observe the graph (see attached), we can clearly see that the x-values can be positive or negative.
Hence A is wrong because it doesn't take into account the negative x- values.
Similarly, C is wrong because it doesn't take into account the positive x-values.
We are left with only option D.
We can verify this by once again looking at the graph and seeing that x can be any negative value, zero or any positive value (ie x can be all real numbers). Hence D is the answer.
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Answer: The domain of the function is:
Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)
Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }
All real numbers besides 0, 7, and -7.
Step-by-step explanation:
In order to find the domain of your rational function, we need to simplify it:
Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.
To find the domain, we equal the equations in the denominator to zero.
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So all real numbers except for 0, -7, and 7 are in the domain of this rational function.