let f(x) = (x^2 - 7x + 10)/(x^2 - 25) for x^2=25
a for x=5
b for x=-5
identify all the horizontal asymptotes
is there a value of a that makes f continuous at x=5
is there a value of b that makes f continuous at x=-5

Question

let f(x) = (x^2 - 7x + 10)/(x^2 - 25) for x^2=25
               a for x=5   
               b for x=-5
identify all the horizontal asymptotes
is there a value of a that makes f continuous at x=5
is there a value of b that makes f continuous at x=-5

amorfide · Answer

you can factorise x^2 - 7x + 10
this gives
(x-2) (x-5)
factorise (x^2 - 25)
this gives
(x+5) (x-5)


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anonymous · Answer

what value of b would make f continuous at x=-5