Mathematics
Grade10
Easy
Question
Find the domain of ![left parenthesis x minus 1 right parenthesis squared](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAARCAYAAACIJW/gAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAPUJuPDwAAAVpJREFUeNpjYBge4D8U/wLio0CsgkthFhB3DGKPdEDdiAswQeXPYZPUA+LjQyC2jkLdig/8wKXRYBB4QA2Ia4H4Ag55YyA+jEe/PRAfRBc0gHpwMIDFQJwGzVO4wGGoR9GBJNQfSugSXUCcMwgLDlwgD0tZAYr5LVBPYoAdQGyLRTwZR6HTDJUbKA9aAvFetJjbBsR8uDR8AmI2HHKgEkkciZ8IxFMGOAbZoG6GAZDnNPAZ9gePnAcQ90HZLmghN1AeZIDWeej1IDIm2oMgsBtaOoFKNmEiK118mNoeJAjwJVEQKIAaqDdIChn0JEoQgGLIGoccSHwNNJlGDhIPWpKaVXBVE6D6ZBMQcwExDxCfISKJ0sODOVA3Ew2wVfSi0NIJ2UM+0Ip4oD2Iq6LHC44j5TFQGl8HxNJY1C2Hlqy07hngKpQINdVwguHU2MYJMgZ5d6kL2k4lGgAAYGxY9Wo1r3YAAACPdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPig8L21vPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4xPC9tbj48bXN1cD48bW8+KTwvbW8+PG1uPjI8L21uPjwvbXN1cD48L21hdGg+r+AFrQAAAABJRU5ErkJggg==)
Hint:
We are give a function. We have to find the domain of the given function. Domain of a function is the set of all values that we can substitute in place of a variable.
The correct answer is: ![left parenthesis negative straight infinity comma straight infinity right parenthesis](data:image/png;base64,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)
The given function is ![left parenthesis x minus 1 right parenthesis squared](data:image/png;base64,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)
Domain means set of all possible inputs. The given function is not a fraction or a radical. It doesn't have restrictions on input.
So, the set of all real numbers is the domain of the function.
So, the domain is
.
For such questions, we should know the concept of domain.