Question

I need to find “C” been here for hours.

Answer 1

The constant C of the rational function graphed in this problem is defined as follows:

C = 19.

What is the rational function?

The rational function in this problem is defined as follows:

f(x) = 1/(x + A) + B.

In which the constants A and B are defined as follows:

• -A is the vertical asympote.

• B is the horizontal asymptote.

Then the values of these constants are given as follows:

A = 3, B = 6.

Thus, considering the asymptotes, the definition of the function is of:

f(x) = 1/(x + 3) + 6.

Then the entire expression can be simplified with the addition of the fraction to 6 as follows:

f(x) = (1 + 6(x + 3))/(x + 3)

f(x) = (6x + 19)/(x + 3).

Then the constant C has a numeric value  of:

C = 19.

More can be can be learned about rational functions at brainly.com/question/1851758

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