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c.F(x) is a complace of features that are consistent for all real numbers, so it is consistent at eincredibly number in its doprimary.

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

Step 1:

The function .

Due to the fact that the degree of the numerator and also the denominator of the function is same, the feature is a improper polynomial function.

Domain:

The domajor of a function is for all values of x, which provides the function mathematically correct.

Since tright here shouldn"t be any zero in denominator.

The denominator expression is always higher than one. ,for all worths of x.

So the domajor of any kind of polynomial feature .

Any polynomial feature is continuous on its domain.

Hence the function is continuous at eincredibly number on . is a rational function, so it is consistent at eincredibly number in its domajor.

Solution:

Option (b) is correct alternative.

See more: In Texas, Failure To ________________ Can Cause You To Be Imprisoned For 5 Years. is a rational attribute, so it is consistent at eincredibly number in its domajor.