# For what values of x, if any, does #f(x) = 1/((x-2)(x-2)(e^x-3)) # have vertical asymptotes?

##### 1 Answer

Jan 28, 2016

#### Explanation:

Vertical asymptotes occur when the denominator of a function equals

#(x-2)(x-2)(e^x-3)=0#

#(x-2)^2(e^x-3)=0#

Like when factoring and solving a quadratic equation, when we have multiple terms being multiplied by one another and equalling

#(x-2)^2=0#

#x-2=0#

#x=2#

#e^x-3=0#

#e^x=3#

#x=ln3#

The vertical asymptotes occur at