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What is the domain of the real-valued function (2x - 7) sqrt(x^2 - 5x + 6)?

 Sep 12, 2021
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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?

 Sep 12, 2021

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