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c.F(x) is a composition of attributes that are constant for all actual numbers, so that is constant at every number in that domain.

You are watching: Explain, using the theorems, why the function is continuous at every number in its domain.


State the domain. (Enter your answer making use of interval notation.)

theoremscontinuousfunctiondomaininterval-notationaskedFeb 1, 2015in CALCULUSby anonymous
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Step 1:

The function

*
.

Since the level of the numerator and also the denominator of the function is same, the function

*
is a wrong polynomial function.

Domain:

The domain the a duty is for all worths of x, which provides the role mathematically correct.

Since over there shouldn"t be any kind of zero in denominator.

The denominator expression

*
is always greater 보다 one.

*
,for all values of x.

So the domain of any type of polynomial function

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.

Any polynomial duty is consistent on that domain.

Thus the function

*
is continuous at every number on
*
.

*
is a reasonable function, so that is continuous at every number in that is domain.

Solution:

Option (b) is correct choice.

See more: In Texas, Failure To ________________ Can Cause You To Be Imprisoned For 5 Years.

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is a rational function, so that is constant at every number in that domain.

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