What is the domain of the real-valued function (2x - 7) sqrt(x^2 - 5x + 6)?
sqrt(x^2 - 5x + 6) <===== this part cannot be negative
x^2 -5x +6 is a bowl shaped parabola..... the negative area is between the zeroes and is not part of the domain of the given expression....all othe 'x' values are valid...... find the zeroes of x *^2 -5x+6
(x-6)(x+1) = 0 so zeroes are 6 and -1 between 6 and -1 are not part of the domain (BUT 6 and 0 ARE part of the domain)
can you finish?