Find the domain of the following functio...

Find the domain of the following functions.
`f(x)=log_(3+x)(x^(2)-1)`

A

`(-3,-1)cup(1,infty)`

B

`(-3,-2)cup(-2,-1)cup(1,infty)`

C

`[-3,-1),cup[1,infty)`

D

`[-3,-2)cup(-2,-1)cup[1,infty)`

Verified by Experts

The correct Answer is:

B

Domain `3xgt0,3+x ne 1` and `x^(2)-1gt0`

Similar Questions

Explore conceptually related problems

Find the domain of the following functions. f(x)=log_(e)=(2+x)/(2-x)

Find the domain of the following functions. f(x)=(log_(2)(x+3))/((x^(2)+3x+2))

Find the domain of the following functions. f(x)=sin^(-1)log_(2)""(x)/(3)

Find the domain of each of the following functions: f(x)=1/(log_(x)(1-x))+sqrt(x+2)

Find the domain of each of the following functions: f(x)=1/(log_(10)(1-x))+sqrt(x+2)

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

Find the domain of the following functions : f(x)=sqrt(log_10((log_10x)/(2(3-log_10x)))

Find the domain of the following functions: f(x)=sqrt((x-2)/(x+2))+sqrt((1-x)/(1+x))

Find the domain of the following functions (a) f(x)=(1)/(sqrt(x-2)) " (b) " f(x)=(1)/(x^(3)-x) (c ) f(x)= root(3)(x^(2)-2)

Find the domain of each of the following functions: f(x)=sqrt((log_(2)(x-2))/(log_(1//2)(3x-1)))