Question

9. 2) the domain of the function log(x² - 6x + 6) is
A) Eo, co) BC-00, 1] uC5o) c) (co,co)
0) (-0, 3-53) (3+√3,0)​

Answer 1

Answer:

Step-by-step explanation:

⇒x²-6x+6>0, ......i,

⇒x=6±√36-24/2,

⇒x=6±√12/2,

⇒x=6± 2√3/2,

⇒3+√3,

⇒[x-(3-√3)] [x-(3+√3)]>0,

⇒x∈(∞,3-√3)∪(3+√3,∞),

⇒log(x²-6x+6)≥0, .....ii,

⇒x²-6x+6≥(e)°,

⇒x²-6x+6≥1,

⇒x²-6x+5≥0,

⇒x²-5x-5+5≥0,

⇒(x-5)(x-1)≥0,

⇒x∈(-∞,1)∪(5,∞).

HOPE IT HELPS YOU.

Answer 2

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