" (viii) "f(x)=(1)/([x])+log_(1-{x})(x^(2)-3x+10)+(1)/(sqrt(2-|x|))+(1)/(sqrt(sec(sin x)))

f(x)=(1)/(x)+log_(1-{x})(x^(2)-3x-10)+(1)/(sqrt(2-|x|))+(1)/(sec(sin x)) find the domain of the function.

Domain of f(x)=log(1-x)+sqrt(x^(2)-1)

f(x)=sqrt(sin^(-1)(log_(2)x))

Find the domain of the following: (i) f(x) = (1)/(log_(10) (1-x)) + sqrt(x+2) (ii) f(x) = sqrt(1-2x) + 3 sin^(-1) ((3x-1)/(2))

If x_(1),x_(2)&x_(3) are the three real solutions of the equation x^(log_(10)^(2)x+log_(10)x^(3)+3)=(2)/(((1)/(sqrt(x+1-1))-(1)/(sqrt(x+1+1)))) where x_(1)>x_(2)>x_(3), then

The minimum value of the function f(x)=(sin x)/(sqrt(1-cos^(2)x))+(cos x)/(sqrt(1-sin^(2)x))+(tan x)/(sqrt(sec^(2)x-1))+(cot x)/(sqrt(csc^(2)x-1))

(1+log_(2)(x-4))/(log_(sqrt(2))(sqrt(x+3)-sqrt(x-3)))=1

The domain of the function: f(x) = sqrt(sin^(-1)(log_(2)x)) + sin^(-1)((1+x^(2))/(2x)) + sqrt(cos(sinx)) is:

If int(x(x-1))/((x^(2)+1)(x+1)sqrt(x^(3)+x^(2)+x))dx =(1)/(2)log_(e)|(sqrt(f(x))-1)/(sqrt(f(x))+1)|-tan^(-1)sqrt(f(x))+C, then The value of f(1) is