Can anyone help me solve this?
I need to solve this but I cant seem to figure it out.
Here is the actual text from the problem
"A continuous function is a function whose graph has no breaks in it.
One nice things about continuous functions is they have the intermediate value property: if (a 1,b 1) is on the graph and (a 2, b 2) is on the graph, then for every y-value b 3 between b 1 and b 2 there is an x value a 3 between a 1 and a 2 such that f(a 3) = b 3.
Anyway, let f be a continuous function with the following amazing property:
f(x) * f(f(x))=1
The astrik is a multiplication symbol.
(a) Find f(793)
(b) Justify your answer. "
Anyone got a clue?
f(x) * f(f(x))=1
The astrik is a multiplication symbol.
2006-12-10 17:09:41 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
f(x) cannot equal 0, otherwise, the property stated would be invalid, so you can divide both sides by f(x)
Therefore f(f(x)) = 1/f(x) replace f(x) with y:
f(y) = 1/y, therefore f(x) = 1/x, and f(f(x) = 1/f(x)
2006-12-10 17:15:06 · answer #1 · answered by arbiter007 6 · 0⤊ 0⤋
The only ways I can make sense of this are to assume f(x)=1/x, or f(x)=1. 1/x isn't continuous, so I feel justified in stating f(x)=1.
2006-12-10 17:19:53 · answer #2 · answered by slathered_in_sauce_sarcastic 2 · 1⤊ 0⤋
AS i've upgraded to belle in 500..what i've spotted is that belle is smoother than anna in 500 however i used to be reAly very dissatisfied to c that restarting main issue z nonetheless there even after gettin upgraded to belle...... now i will readily finish that it's all becoz the absence of gpu
2016-09-03 08:36:31 · answer #3 · answered by ? 4 · 0⤊ 0⤋