When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function is; a) 0
What is an Undefined Function?
A function that is a fraction is said to be undefined when the denominator is equal to zero. If there are variables in the denominator, the point at which the expression in the denominator is zero is the point where that function is undefined.
From the question, we want to know what the value of the denominator of a fraction will be to make that fraction undefined. From the definition above, it is clear that the value would be zero.
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Answer:
a ≠ 2
Step-by-step explanation:
Given
The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that a cannot be, that is
- 3a + 6 = 0 ( subtract 6 from both sides )
- 3a = - 6 ( divide both sides by - 3 )
a = 2 ← excluded value
Simplify the answer so its ( x+1 over (x-2)(x-4) ) where the answer should be D all real numbers except 2 and 4.
hope it helped !!
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