Respuesta :

Rational functions are written as fractions. The expression equivalent to [tex]\frac{\dfrac{m-4}{m+4} }{m+2}[/tex] is [tex]\frac{m-4}{m^2+6m+8}[/tex]

Rational functions

Given the rational function expressed as:

[tex]\frac{\dfrac{m-4}{m+4} }{m+2}[/tex]

This can be further expressed as:

[tex]\frac{m-4}{(m+4(m+2)}[/tex]


Factorize the denominator to have;

[tex]\frac{m-4}{m^2+4m+2m+8}\\ \frac{m-4}{m^2+6m+8}[/tex]

Hence the expression equivalent to [tex]\frac{\dfrac{m-4}{m+4} }{m+2}[/tex] is [tex]\frac{m-4}{m^2+6m+8}[/tex]

Learn more on rational function here: https://brainly.com/question/1917026

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