Home
Class 12
MATHS
Let f: R ->Rbe defined as f(x) = 10 x +...

Let `f: R ->R`be defined as `f(x) = 10 x + 7`. Find the function `g: R ->R`such that`gof=fog=1_R`

Text Solution

Verified by Experts

The correct Answer is:
`g (y) = (y-7)/(10)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 1.4|13 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|18 Videos
  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise Miscellaneous Exercise on chapter 10|18 Videos

Similar Questions

Explore conceptually related problems

Let f : R rarr R be defined as f(x) = 10 x +7 . Find the function g:R rarrR such that gof = fog = I_(g)

Let f:R to R be defined by f(x)=3x-4 . Then, f^(-1) (x) is

Knowledge Check

  • Let f : R rarr R be defined as f(x) = 3x . Choose the correct answer.

    A
    f is one - one onto
    B
    f is many - one onto
    C
    f is one - one but not onto
    D
    f is neither one - one nor onto
  • Let the f : R to R be defined by f(x)=2x+cos x , then f …………….

    A
    has a minimum at `x = pi`
    B
    has a maximum, at x = 0
    C
    is a decreasing function
    D
    is an increasing function
  • If f : R rarr R be defined by f(x) = 1/(x) , AA x in R . Then , f is .........

    A
    one-one
    B
    onto
    C
    bijective
    D
    f is not defined
  • Similar Questions

    Explore conceptually related problems

    f:R->R is defined as f(x)=2x+|x| then f(3x)-f(-x)-4x=

    If f : R to R is defined by f (x) =x ^(2) - 3x + 2, find f (f (x)).

    Let f : R rarr R be defined by f(x) = cos (5x+2) . Is f invertible? Justify your answer.

    If f:R -> R, g:R -> R defined as f(x) = sin x and g(x) = x^2 , then find the value of (gof)(x) and (fog)(x) and also prove that gof != fog .

    The function f: R rarr R ,f(x) = 5x+7 then the function f is ..........