precal help f(f(f(x)))?
I already worked this, but I'm not sure if I did it right.
let f(x)=1/(1-x)
what are the domain and range of f?
find f(f(x)) what is the domain of this function?
find and graph f(f(f(x))) what is the domain of this function? is this graph a line? why or why not?
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f(x)=1/(1-x)
Domain x not= 1, Range y not=0 (from graph)
f(f(x)) = (1-x)/(-x) = 1 -(1/x)
Domain x not= 1,0 Because 1 is not allowed in first stage and 0 is not defined in the combined formula
f(f(f(x)))= x (Whoa!!) Domain x not= 1,0 because of restrictions at earlier stages
Technically not a line because a completely correct graph shows little bubbles at x=0, x=1 where the graph skips since there is not value at those points.