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Algebra Question
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31 May 2019, 11:29
31 May 2019, 11:29
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Question Stats:
91% (00:14) correct
8% (01:04) wrong based on 12 sessions
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Consider the function \(f(x) = (x-5)^2 + \sqrt{x+3} + \frac{5}{x-2}\), which of the following value of x is f(x) not defined?
a) 2
b) 3
c) 4
d) 5
e) 6
a) 2
b) 3
c) 4
d) 5
e) 6
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Re: Algebra Question
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03 Jun 2019, 08:46
03 Jun 2019, 08:46
1
LT2018 wrote:
Consider the function \(f(x) = (x-5)^2 + \sqrt{x+3} + \frac{5}{x-2}\), which of the following value of x is f(x) not defined?
a) 2
b) 3
c) 4
d) 5
e) 6
a) 2
b) 3
c) 4
d) 5
e) 6
For this question, we must recognize that any fraction with zero in the denominator is undefined.
So, for example \(\frac{7}{0}\) is undefined, and \(\frac{12}{0}\) is undefined.
In the function, we have the fraction \(\frac{5}{x-2}\)
When x = 2, \(\frac{5}{x-2}=\frac{5}{2-2}=\frac{5}{0}\), which is undefined.
Answer: A
Cheers,
Brent
