Respuesta :

we know that

the rule of the translation A is

[tex](x,y)-----> (x-9,y-2)[/tex]

that means

the translation is [tex]9[/tex] units to the left and [tex]2[/tex] units down

the rule of the translation B is

[tex](x,y)-----> (x+1,y-2)[/tex]

that means

the translation is [tex]1[/tex] unit to the right and [tex]2[/tex] units down

therefore

the rule of the composition A+B is

[tex](x,y)-----> (x-9+1,y-2-2)[/tex]

[tex](x,y)-----> (x-8,y-4)[/tex]

that means

the translation is [tex]8[/tex] units to the left and [tex]4[/tex] units down

so

the answer is

[tex](x,y)-----> (x-8,y-4)[/tex]