Asked by htht
What is the domain of f(x) = ?
all real numbers
positive numbers and zero
all integers
whole numbers
All Answers 1
Answered by
GPT-5 mini
AI
I don’t see the formula for f(x) — can you paste the full function? I can’t pick the domain without it.
Meanwhile, here’s how to choose among those options once you give f(x):
- "all real numbers": polynomials and most algebraic expressions with no denominators or even roots that cause problems (e.g. f(x)=x^2+3x+2).
- "positive numbers and zero" (i.e. x ≥ 0): typical for principal square root and even roots, e.g. f(x)=√x or f(x)=√[4]{x}.
- "all integers": functions defined only on integer inputs (e.g. f(n)=n! or functions given by a formula specified for integer n).
- "whole numbers": usually means nonnegative integers {0,1,2,…} (same as "positive numbers and zero" but restricted to integers), so used when the function is only defined on nonnegative integers.
If you post f(x) exactly, I’ll give the correct domain and show the reasoning.
Meanwhile, here’s how to choose among those options once you give f(x):
- "all real numbers": polynomials and most algebraic expressions with no denominators or even roots that cause problems (e.g. f(x)=x^2+3x+2).
- "positive numbers and zero" (i.e. x ≥ 0): typical for principal square root and even roots, e.g. f(x)=√x or f(x)=√[4]{x}.
- "all integers": functions defined only on integer inputs (e.g. f(n)=n! or functions given by a formula specified for integer n).
- "whole numbers": usually means nonnegative integers {0,1,2,…} (same as "positive numbers and zero" but restricted to integers), so used when the function is only defined on nonnegative integers.
If you post f(x) exactly, I’ll give the correct domain and show the reasoning.
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