Grade 11Algebra
Please help me with the Domain of the above mentioned function
3 Answers
Arun
Dear Aarushi
1-x² >0
x belongs to (-1, 1)
1- sqrt(1 -x²) > 0
1 > sqrt(1 -x²)
x² > 0
x belngs to R..
1 - sqrt (1 - sqrt(1-x²) ) > 0
x belngs to R
Hence
Finally x belngs to (-1, 1)
Samyak Jain
Here, terms inside sqr root must be greater than or equal to 0.
x 
(-1, 1) …................(1)
1 – 
(1 – x2) 
0 or (1 – x2) 
1 or 1 – x2 1 or x2 0 , which is always true.
x R ….......................(2)
1 – 
1 – (1 – x2) 0 or 1 – (1 – x2) 1 or (1 – x2) 0
1 – x2 0 As i’ve written above x (-1,1) ...................(3)
Take intersection of (1), (2) & (3) to get
x (-1,1), which is the domain of the function
Samyak Jain
Sorry, I made a slight mistake in above answer. the correct answer is below.
Here, terms inside sqr root must be greater than or equal to 0.
x [-1, 1] …................(1)
1 – (1 – x2) 0 or (1 – x2) 1 or 1 – x2 1 or x2 0 , which is always true.
x R ….......................(2)
1 – 1 – (1 – x2) 0 or 1 – (1 – x2) 1 or (1 – x2) 0
1 – x2 0 As i’ve written above x [-1,1] ...................(3)
Take intersection of (1), (2) & (3) to get
x [-1,1], which is the domain of the function
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago