{
"query": {
"display": "inversa $$x-4$$",
"symbolab_question": "FUNCTION#inverse x-4"
},
"solution": {
"level": "PERFORMED",
"subject": "Functions & Graphing",
"topic": "Functions",
"subTopic": "inverse",
"default": "x+4",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "Inversa de $$x-4:{\\quad}x+4$$",
"steps": [
{
"type": "definition",
"title": "Definición de funcion inversa",
"text": "Una función g es la inversa de la función f if for $$y=f\\left(x\\right),\\:\\:x=g\\left(y\\right)\\:$$"
},
{
"type": "step",
"result": "y=x-4"
},
{
"type": "interim",
"title": "Reemplazar $$x\\:$$con $$y$$",
"input": "y=x-4",
"result": "x=y-4",
"steps": [
{
"type": "step",
"primary": "Reemplazar $$x\\:$$con $$y$$",
"secondary": [
"Reemplazar $$y\\:$$con $$x$$"
],
"result": "x=y-4"
}
],
"meta": {
"interimType": "Interchange Variables 2Eq",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7vpqcDD/7yX5Tbd9fO9JFZRG81QzFGB0OGkNLsNozHEH6Zij41f8AqYfKZ45rc2etAjz6GQvIClnX85LTbcJNv9bA+zX4bD3u3gx65o2NJhPXY1GpAmdz+kZRHqVJyX19FXB35O0+G99QxsodT4za+r8yD3hLQ33B7/8/LpbPE3o="
}
},
{
"type": "interim",
"title": "Resolver para $$y,\\:x=y-4$$",
"input": "x=y-4",
"steps": [
{
"type": "step",
"primary": "Intercambiar lados",
"result": "y-4=x"
},
{
"type": "interim",
"title": "Desplace $$4\\:$$a la derecha",
"input": "y-4=x",
"result": "y=x+4",
"steps": [
{
"type": "step",
"primary": "Sumar $$4$$ a ambos lados",
"result": "y-4+4=x+4"
},
{
"type": "step",
"primary": "Simplificar",
"result": "y=x+4"
}
],
"meta": {
"interimType": "Move to the Right Title 1Eq",
"gptData": "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"
}
}
],
"meta": {
"solvingClass": "Equations",
"interimType": "Generic Solve For Title 2Eq"
}
},
{
"type": "step",
"result": "x+4"
}
],
"meta": {
"solvingClass": "Function Inverse"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"plotRequest": "x-4"
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solución
inversa
Solución
Pasos de solución
Reemplazar con
Resolver para