How do you find the domain and range of #f(x) = 7 / (2x-10)#?
1 Answer
Apr 7, 2017
Explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.
#"solve " 2x-10=0rArrx=5larrcolor(red)" value that x cannot be"#
#rArr"domain is " x in RR,x!=5#
#"Rearrange f(x) making x the subject"#
#y=7/(2x-10)#
#rArry(2x-10)=7#
#rArr2xy-10y=7#
#rArr2xy=7+10y#
#rArrx=(7+10y)/(2y)#
#"Apply the same reasoning as for domain"#
#rArr"range is " y inRR,y!=0#