find the domain and range of f(x)= (x-2)/(x-3)
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Answer:
Step-by-step explanation:
f(x)= (x-2)/(x-3)
function f(x) is not defined when x-3=0
=>x=3
so, domain=R-{3}
let y=f(x)
=>y=(x-2)/(x-3)
=>x-2=xy-3y
=>xy-x=3y-2
=>x=(3y-2)/(y-1)
so,x=(3y-2)/(y-1) is not defined when
y-1=0
=>y=1
so, Range:- R-{1}
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