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]

Question

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]

Tushar Kohli · Accepted Answer

fx=x2-5x+6+2x+8-x2fx=x-3x-2+2+x4-xx-3x-2≥0⇒x≤2 or
x≥32+x4-x≥0⇒x≥-2 or x≤4Domain
x∈[-2,2]∪[3,4]

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]