What is the square of 6
1 answer:
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Answer:
Step-by-step explanation:
We can rewrite the equation as
Notice that we have in both the numerator and the denominator, so it looks like we can divide it out. However, what if
is
? Then we would have
, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for
, but this one is not).
A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at . In the simplified version of the function, if we plug in
, we get
So the point is our only point of discontinuity.
It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at (since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of
The sum of ( x +
) + (
x -
) is
x +
Step-by-step explanation:
To add or subtract 2 fractions, they must have same denominators, if they not do that
- Find the Lowest common multiple of the two denominators (LCM)
- Replace each denominator by it
- Divide The LCM by each denominator and multiply the numerator of each fraction by its quotient
∵ ( x +
) + (
x -
)
- Let us start with adding the like terms
∴ ( x +
) + (
x -
) = (
∵ ( x +
x ) have same denominators, then we can add them
∴ ( x +
x ) =
x
∵ ( -
) do not have the same denominators, then we must find
LCM of 8 and 4
- The LCM of 8 and 4 is 8 because 8 is the first common multiple
of 8 and 4
∵ LCM of 8 and 4 is 8
- Divide 8 by the denominator 4
∵ 8 ÷ 4 = 2
- Multiply the numerator of the fraction by 2
∴
∴ ( -
) = (
-
) =
∴ ( x +
) + (
x -
) =
x +
The sum of ( x +
) + (
x -
) is
x +
Learn more:
You can learn more about the fractions in brainly.com/question/2456302
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