If #f(x) = x+2# and #g(x) = x-2#, what is #(f/g)(x)#? What is its domain?
1 Answer
Jan 24, 2018
Explanation:
#(f/g)(x)=(f(x))/(g(x))=(x+2)/(x-2)#
#"the denominator cannot be zero as this would make"#
#(f/g)(x)" undefined. Equating the denominator to zero and"#
#"solving gives the value that x cannot be"#
#"solve "x-2=0rArrx=2larrcolor(red)"excluded value"#
#rArr"domain is "x inRR,x!=2#
#rArr(-oo,2)uu(2,+oo)larrcolor(blue)"in interval notation"#
