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Pb03 Posted 16 years ago
Vocabulary
One sentence...
Hi guys,
This sentence below is some part of notes in a math test and I can't figure out the relations between words. If you have any idea and explain some here for me, it would be a great help for me.
Thanks~
pb
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My questions are:
1. What does "x" follwing the words "all real numbers" refer to? "the set" or"all real numbers"?
2. What could be the best interpretation for the phrase "for which f(x) is a real number" related to the previous part?
[ Unless otherwise specified, the domain of any function f is assumed to be the set of all real
numbers x for which f(x) is a real number. ]
This sentence below is some part of notes in a math test and I can't figure out the relations between words. If you have any idea and explain some here for me, it would be a great help for me.
Thanks~
pb
--------------
My questions are:
1. What does "x" follwing the words "all real numbers" refer to? "the set" or"all real numbers"?
2. What could be the best interpretation for the phrase "for which f(x) is a real number" related to the previous part?
[ Unless otherwise specified, the domain of any function f is assumed to be the set of all real
numbers x for which f(x) is a real number. ]
Top answer
" It includes positive, negative, rational, irrational, etc. Pretty much anything except the square root of negative numbers.
- " It includes positive, negative, rational, irrational, etc.
- Pretty much anything except the square root of negative numbers.
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1 Answers
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In this case, it means "all real numbers that would produce a real number after the function is applied."
It includes positive, negative, rational, irrational, etc. Pretty much anything except the square root of negative numbers.
It includes positive, negative, rational, irrational, etc. Pretty much anything except the square root of negative numbers.
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