Home
Class 12
MATHS
Find the inverse of the function, (assum...

Find the inverse of the function, (assuming onto).
`" " y=log_(a)(x+sqrt(x^(2)+1)),(a gt 1)`.

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|25 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

The inverse of the function of f:R to R given by f(x)=log_(a) (x+sqrt(x^(2)+1)(a gt 0, a ne 1) is

Find the domain and range of the following function : f(x) = sin (log((sqrt(4-x^2))/(1-x))) .

y=log_e(tan^(- 1)sqrt(1+x^2)) then dy/dx is

Find the interval of increase and decrease of the function f(x)=log(1+x)-x/(1+x) .

Find the intervals in which the function is increasing or decreasing: f(x) = log(1+x) - (2x)/(2+x)

Whether the following function is odd or even or neither : f (x)= log(x+ sqrt(x^2+1)) .

Find the inverse of the following function. (i) f(x) = sin^(-1)(x/3), x in [-3,3] (ii) f(x) = 5^(log_e x), x gt 0 (iii) f(x) = log_e (x+sqrt(x^2+1))

If y = log ( x +sqrt(a^2+x^2)) , find dy/dx .

Find the domain of definitions of the following function: f(x)=log_(10)(1-log_(10)(x^(2)-5x+16))

Find the range of the function f(x)=cot^(-1)(log)_(0. 5)(x^4-2x^2+3)