Home
Class 12
MATHS
If f: R-{7/5}->R-{3/5} be defined as f(x...

If `f: R-{7/5}->R-{3/5}` be defined as `f(x)=(3x+4)/(5x-7)` and `g: R-{3/5}->R-{7/5}` be defined as `g(x)=(7x+4)/(5x-3)` . Show that `gof=I_A` and `fog=I_B` , where `B=R-{3/5}` and `A=R-{7/5}` .

Text Solution

Verified by Experts

The correct Answer is:
x
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTIONS FROM NCERT EXEMPLAR|5 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (a) (Short Answer Type Questions)|13 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

If f:R-{(7)/(5)}rarr R-{(3)/(5)} be defined as f(x)=(3x+4)/(5x-7) and g:R-{(3)/(5)}rarr R-{(7)/(5)} be defined as g(x)=(7x+4)/(5x-3). Show that gof=I_(A) and fog=I_(B), where B=R-{(3)/(5)} and A=R-{(7)/(5)}

If f" R -{3/5} to R be defined by f(x)=(3x+2)/(5x-3) , then :

Let f:R-{(3)/(5)}rarr R be defined by f(x)=(3x+2)/(5x-3). Then

Show that if f:R-{(7)/(5)}rarr R-{(3)/(5)} is defined by f(x)=(3x+4)/(5x-7) and g:R-{(3)/(5)}rarr R-{(7)/(5)} is define by g(x)=(7x+4)/(5x-3), then fog=I_(A)A=R-{(3)/(5)},B=R-{(7)/(5)};I_(A)(x)=x,AA x in A,I_(B)(x)=x,AA x in B are called ideal

Let f: R-{-3/5}->R be a function defined as f(x)=(2x)/(5x+3) . Write f^(-1) : Range of f->R-{-3/5} .

f:R rarr R defined by f(x)=x^(2)+5

Let f:R rarr R and g:R rarr R be defined by f(x)=x+1 and g(x)=x-1. Show that fog =gof=I_(R)

Show that function f:A rarr B defined as f(x)=(3x+4)/(5x-7) where A=R-{7/5}, B=R-{3/5} is invertible and hence find f^(-1) .

If f (x) = (3x + 4)/( 5x -7), g (x) = (7x +4)/(5x -3) then f [g(x)]=