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For what values of x, if any, does #f(x) = 1/((x-4)(x-7)) # have vertical asymptotes?

1 Answer

Apr 14, 2016

#x=4 or x=7#

Explanation:

Vertical asymptotes: #x-4=0 and x-7=0#

=> #x=4 or x=7#

#lim_(x->4) 1/((x-4)(x-7)) =1/(0*-3) = 1/0 =oo#

#lim_(x->7) 1/((x-4)(x-7)) =1/(3*0) = 1/0 =oo#

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