Respuesta :

Answer:

To find the expression equal to the rational expression below when x≠2 or 9

[tex]\frac{4(x-2)}{(x-2)(x-9)}[/tex]

Since it is given that x is not equal to 2 and 9, the rational expression will exist,

we get for any value of x, (x-2) get cancelled in numerator and denominator.

we get,

[tex]=\frac{4}{(x-9)}[/tex]

Answer is: option D:

[tex]=\frac{4}{(x-9)}[/tex]