Question

How do you find the domain of a function without a calculator?

Answer 1

You need to find the numbers which makes your function undefined and then subtract them from the Real numbers set for example if you had

`√(x)`

function you need to make sure that the x won't be negative number ( even roots of negative numbers are undefined ) thus the domain would be [0,+∞)

for another example

`(x - 5)/(x - 6)`

in this function u need to make sure that denominator won't be 0 so you need to solve this equation x-6=0 which would be x=6 thus the domain would be R-6

I hope this practice would be useful, if you have any specific functions that u needed to find the domain please comment it below thanks!