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