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00:00 - 00:59 | hello everyone is question we need to find the domain of the function the function is under root x square - greatest integer of x square + greatest integer of access the greatest integer less than or equal to X so we have option as fast as real number second as zero to infinity third as - 120 and forth is none of these now what is my function here is my function is under root x square - greatest integer of x square now what I can say from here that let's suppose suppose that we want a defined functions to x square minus kreta kreta integer x square is equal to zero right now we can see that if if let assume that X belongs 2021 that X belongs 2021 |

01:00 - 01:59 | if x belongs 2021 if I put 0 hair in place of X then greatest integer of explain belongs to zero and I can say greatest integer or fax will be equal to zero B equal to zero and square of greatest integer X will be zero square and that is zero right so I can say that x square is greater than greatest integer of x square is this holds true similarly if I talk about from 12 to range then greatest integer or fax will be one and square of greatest integer of X is one again if I put suppose you put 1.1.2 score is not 1.4 but greatest integer of 1.2 is what again I can say x square greater than greatest integer of access similarly for all |

02:00 - 02:59 | positive values of X all positive values of eggs my function will be defined function will be define one right now let's talk about negative values not suppose X belongs to - 120 X belongs to - 120 to greatest integer of axillary -1 and square of greatest integer X will be won the suppose if you put -2 in place of x cube minus 2 square that is 0.0.0 4 - 2 that there is -2 so this is negative of 0.04 which is which is less than which is less than one square so I can say here that here in that case x square is less than or equal to x square x |

03:00 - 03:59 | for all negative values of X all negative values of X right so we will not take any negative values to the domain of my function here is zero to infinity zero to infinity Union all the integral values of negative side that is -1 you can also take - 1 - 2 - 3 - 4 - 5 and 7 2013 this is the domain of my function and as per the question my correct option is option to write thank you |