Give the domain of the following rational expressions.
(3x – 5)/(x^2 – 4)
A. all real nos. except -4 and 4.
B. all real nos. except 0.
C. all real nos. except -2 and 2.
D. all real nos.
(16)/(x+9)
A. all real nos. except 0.
B. all real nos. except 9.
C. all real nos.
D. All real nos.
(6x+1)/3
A. all real nos. except 0.
B. all real nos.
C. all real nos. except 3.
D. all real nos. except 1.
(2y^2)/x
A. all real nos. except 0.
B. all real nos.
C. all real nos. except 2.
D. all real nos. except -2.
Brainlieat ko makasagot ng maayos.
Answer:
1. The denominator is x^2 – 4. If that expression becomes zero (0), the value will become undefined. The possible numbers that can make it happen are 2 and –2, so the answer must be C.
2. The denominator is x + 9. It’s the same condition in number 1, the only number that can make the denominator become zero (0) is –9 and I don’t see any choices saying all real numbers except –9.
3. Since the denominator is a fixed constant. All real numbers should fit as a domain. (B)
4. The denominator is x. The same thing in the previous, the only number that can make it a zero (0) is 0. So the domain is all real numbers except zero (0). (A)
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