f(x)=log_(10)(x+sqrt(1+x^(2)))" (hen find "f^(-1)(x)

Find the domain of definition of the following functions : (i) f(x) = log_(10) sin (x-3) + sqrt(16 - x^(2)) (ii) f(x) = sqrt((4- |x|)/(7-|x|)) (iii) f(x) = (1)/(sqrt([|x|-1]|-5)) where [x] denotes the greatest integer function.

Let f(x)=log_(2)(x+sqrt(x^(2)+1)). If f(a)=b, then f(-a) is equal to

The function f(x)=log_(10)(x+sqrt(x^(2))+1) is

The function f(x)=log_(10)(x+sqrt(x^(2))+1) is

Suppose f and g are two functions such that f,g: R -> R f(x)=ln(1+sqrt(1+x^2)) and g(x)=ln(x+sqrt(1+x^2)) then find the value of xe^(g(x))f(1/x)+g'(x) at x=1

If f(x)=2x+cos^(-1) x+log (sqrt(1+x^(2))-x) , then f(x) is-

Suppose f and g are two functions such that f,g:R rarr Rf(x)=ln(1+sqrt(1+x^(2))) and g(x)=ln(x+sqrt(1+x^(2))) then find the value of xe^(g(x))f((1)/(x))+g'(x) at x=1

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 f(x)=2 x cot ^(-1)x + log (sqrt(1+x^2)-x then f(x)