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Is the function f(x) = x / x –4 a one-to-one function?

2007-04-14 13:42:14 · 2 answers · asked by JJ 1 in Science & Mathematics Mathematics

2 answers

Not at x=4, for sure. Otherwise, it looks OK.

2007-04-14 13:46:50 · answer #1 · answered by cattbarf 7 · 0 0

Do you mean f(x) = x /(x-4)?

Yes, it is, if you consider it from R-{4} into R

Its not even a function if you consider it from R into R

This is your function:
............. y
............. .. ^o
....|......... ..|
............. ...|.o...... |
.............. ..|...o.... |
-------------|------- o ---------->x
... .........4.|......... | ...... o
................ |......... |........ ..............o
-------------|--------|----------------------
o............. .|....-1 |
.. ...... o.... |........ |
............ o |........ |
.............. o|........ |

Ana

2007-04-14 20:49:25 · answer #2 · answered by MathTutor 6 · 0 0

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