find domain of √x^2-5x+6

Asked by Maria Jose | 4th May, 2020, 01:45: PM

Expert Answer:

The given function f(x)=√x2-5x+6
f open parentheses x close parentheses space i s space d e f i n e d space i f space x squared minus 5 x plus 6 greater or equal than 0
i. e. space x squared minus 2 x minus 3 x plus 6 greater or equal than 0
i. e. space open parentheses x minus 2 close parentheses open parentheses x minus 3 close parentheses greater or equal than 0
i. e. space x minus 2 greater or equal than 0 space & space x minus 3 greater or equal than 0 space space O R space space x minus 2 less or equal than 0 space & space x minus 3 less or equal than 0
i. e. space x greater or equal than 2 space & space x greater or equal than 3 space space O R thin space space x less or equal than 2 space & space x less or equal than 3
i. e. space x greater or equal than 3 space space O R thin space space x less or equal than 2
rightwards double arrow x element of left parenthesis negative infinity comma 2 right square bracket space union space left square bracket 3 comma infinity right parenthesis

Answered by Renu Varma | 4th May, 2020, 02:59: PM