Home
Class 12
MATHS
Let f : R to R be defined as f (x) =10 x...

Let `f : R to R` be defined as `f (x) =10 x +7.` Find the function `g : R to R` such that `g o f =f 0 g= 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 BANGLISH|Exercise EXERCISE 1.4|13 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise Miscellaneous Exercise on chapter 10|19 Videos

Similar Questions

Explore conceptually related problems

Let f:R to R be given by f(x) =|x^(2)-1|, x in R . Then

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

Knowledge Check

  • Let f: R to 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 f:R to R be defined by f(x)=x|x| , then the function f is -

    A
    one-one only
    B
    onto only
    C
    neither one-one nor onto
    D
    one-one and onto

  • Let f : R to R be defined as f (x) = x ^(4). 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.

    • Similar Questions

    Explore conceptually related problems

    If f:R to R be defined by f(x) =2x+sinx for x in R , then check the nature of the function.

    Let the function f : R to R be defined by f(x)= 2x + cos x , then f(x)-

    Let f : R to R be defined as f(x) = (x^2-x+4)/(x^2+x+4) . Then the range of the function f(x) is

    Let f: d rarr R be defined by f(X)=In (In(In(In x))) then

    Let the function f:R to R be defined by f(x)=x+sinx for all x in R. Then f is -

    Home
    Profile