{
"query": {
"display": "domain $$f\\left(x\\right)=\\sqrt[3]{x-4}$$",
"symbolab_question": "FUNCTION#domain f(x)=\\sqrt[3]{x-4}"
},
"solution": {
"level": "PERFORMED",
"subject": "Functions & Graphing",
"topic": "Functions",
"subTopic": "domain",
"default": "-\\infty <x<\\infty ",
"interval": "(-\\infty ,\\infty )",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "Domain of $$\\sqrt[3]{x-4}\\::{\\quad}-\\infty\\:<x<\\infty\\:$$",
"steps": [
{
"type": "definition",
"title": "Domain definition",
"text": "The domain of a function is the set of input or argument values for which the function is real and defined"
},
{
"type": "step",
"primary": "The function has no undefined points nor domain constraints. Therefore, the domain is",
"result": "-\\infty\\:<x<\\infty\\:"
}
],
"meta": {
"solvingClass": "Function Domain"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"plotRequest": "\\sqrt[3]{x-4}"
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solution
domain
Solution
+1
Interval Notation
Solution steps
The function has no undefined points nor domain constraints. Therefore, the domain is
Graph
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Frequently Asked Questions (FAQ)
What is the domain of f(x)=\sqrt[3]{x-4} ?
The domain of f(x)=\sqrt[3]{x-4} is -infinity <x<infinity