How to solve ?
If f(x) = x−11 , the number of points of discontinuity of the function g(x) = f(f(f(x)))
please explain
2007-03-12 23:36:32 · 5 answers · asked by sanko 1 in Science & Mathematics ➔ Mathematics
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correction f(x)=1/(1-x)
2007-03-12 23:37:00 · update #1
nirvana
2007-03-12 23:40:13 · answer #1 · answered by chi 4 · 0⤊ 0⤋
Using your revised function.
f(x) = 1/(1 - x) so f(f(x)) = 1/(1 - 1/(1 - x)) = (x - 1)/x so this gives
f(f(f(x))) = 1/(1 - (x - 1)/x)) = x
so there are no points of discontinuity.
2007-03-13 06:48:52 · answer #2 · answered by mathsmanretired 7 · 0⤊ 0⤋
f(x) = 1/(1-x)
f(f(x)) = 1/(1-1/(1-x)) = (x-1)/x
f(f(f(x))= 1/(1-(x-1)/x = x/1(NO discontinuity
2007-03-13 09:24:00 · answer #3 · answered by santmann2002 7 · 0⤊ 0⤋
f(x) = 1/(x-1)
f(f(x)) = 1/((1/(x-1))-1)
f(f(f(x))) = 1/((1/(1/((1/(x-1))-1)-1))-1)
clearly f is not defined for
x = 1 and x = 2
2007-03-13 07:46:33 · answer #4 · answered by gjmb1960 7 · 0⤊ 0⤋
.l................
2007-03-13 06:38:29 · answer #5 · answered by scottz121 1 · 0⤊ 0⤋