Question

Find the domain of each of the function F(x)=x-1/sq root of x-x2

Answer 1

Answer:

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Step-by-step explanation:

f(x)=

x−

1−x

2

​

​

x−

1−x

2

​

≥0 and 1−x

2

≥0

⇒x≥

1−x

2

​

 and −1≤x≤1 ... (i)

Now, x

2

≥(

1−x

2

​

)

2

, for positive x

x≤−

2

​

1

​

 or x≥

2

​

1

​

     ... (ii)

From (i) and (ii), we get

x∈[−1,−

2

​

1

​

]∪[

2

​

1

​

,1]

Hence, option 'D' is correct.