the domain of the function f(x)=square root of x2-5x+6 + square root of 2x+8-x2

a) [2,3]

b) [-2,4]

c) [-2,2] U [3,4]

d) [-2,1] U [2,4]

fx=x2-5x+6+2x+8-x2fx=x-3x-2+2+x4-xx-3x-20x2 or x32+x4-x0x-2  or  x4Domain x[-2,2][3,4]

  • -5

option c.

For square root to be defined x should have a range such that both the quadratics are positive. Solve these twoinequalities and the intersection of these two ranges would be the ans.

  • -3
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