# How do you find the domain of #f(x)= (8x)/((x-1)(x-2)) #?

##### 2 Answers

Mar 30, 2018

#### Explanation:

#f(x)" is defined for all values of x except values which"#

#"make f(x) undefined"#

#"the denominator of f(x) cannot be zero as this would make"#

#"f(x) undefined. Equating the denominator to zero and "#

#"solving gives the values that x cannot be"#

#"solve "(x-1)(x-2)=0#

#rArrx=1,x=2larrcolor(red)"are excluded values"#

#"domain is "x inRR,x!=1,2#

#(-oo,1)uu(2,+oo)larrcolor(blue)"in interval notation"#

graph{(8x)/((x-1)(x-2)) [-10, 10, -5, 5]}

Mar 30, 2018

Ask yourself where the function is defined.

#### Explanation:

Since the given function is a rational function, look where is the denominator is equal to zero. (

(

The domain of