The domain of definition of the function...

The domain of definition of the function
`y=(1)/(log_(10)(1-x))+sqrt(x+3)` is

A

(-3, -2) excluding -2, 5

B

[0, 1] excluding 0.5

C

(-3, 1) excluding 0

D

None of these

Verified by Experts

The correct Answer is:

C

For domain of y,
`1-x gt 0, 1-x ne 1 and x+2 gt 0`
`rArr x lt 1, x ne 0 and x gt -2`
`rArr -2 lt x lt 1` excluding 0
`rArr x in (-2,1) -{0}`

Similar Questions

Explore conceptually related problems

The domain of definition of the function y=1/((log)_(10)(1-x))+sqrt(x+2) is

The domain of the definition of the function f(x)=(1)/(4-x^(2))+log_(10)(x^(3)-x) is

Domain of definitation of the function f(X ) = (3)/(4-x^2) + log _(10) (x^3 -x) is

Domain of the function y =(x-1)/(x+1) is:

The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) for real-valued x is [-1/4,1/2] (b) [-1/2,1/2] (c) (-1/2,1/9) (d) [-1/4,1/4]

The domain of definition of f(x) = (log_2(x+2))/(x^2+3x+2)

Find the domain of the function : f(x)=sin^(-1)((log)_2x)

Find the domain of the function : f(x)=3/(4-x^2)+(log)_(10)(x^3-x)

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

The domain of the function f (x) = (1)/(sqrt(9-x^2)) is