Rational functions v and w both have a point of discontinuity at x = 7. which equation could represent function w? a. w(x) = v(x − 7) b. w(x) = v(x 7) c. w(x) = v(x − 7) 7 d. w(x) = v(x) 7



Answer :

The possible representation of a function in a formula w = w(x)=v(x-7)+7 that is option c

The representation of a rational function can be a polynomial split by another polynomial.

The set of all numbers excluding the zeros in the denominator defines the domain of a rational function because polynomials are defined everywhere.

According to the question,

x=7 is the point of discontinuity for rational functions.

When a rational function has a point of discontinuity, it happens when:

Q(x)=r(x-a), where x=a

We must pay attention to the following relationship in this case, which is the union of a parent rational function and a vertical translation:

=> w(x) = v(x - a) +k , for every k belongs to R

If we know that a=7 and k=7.

Then, The equation representing function w is  w(x)=v(x-7)+7 option(c)

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