Home
Class 12
MATHS
If the function f : R rarr R be defined ...

If the function `f : R rarr R` be defined as `f(x) = (3x + 4)/(5x-7), (x ne 7//5)` and
`g : R rarr R` be defined as `g(x) = ( 7x + 4)/(5x - 3),(x ne 3//5)`
show that `(g o f)(x) = (f o g)(x)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2022

    ICSE MODEL PAPER|Exercise SECTION B|11 Videos
  • SAMPLE PAPER 2022

    ICSE MODEL PAPER|Exercise SECTION C|8 Videos

Similar Questions

Explore conceptually related problems

If the function f : RrarrR be defined as f (x)= (3x+4)/(5x-7),(xne7/(5)) and g : RrarrR be defined as g (x) = (7x+4)/(5x-3),(xne3/(5)) show that (g o f) (x) = (f o g) (x).

The function f:R rarr R defined as f(x)=(3x^2+3x-4)/(3+3x-4x^2) is :

Let f : R - {2} rarr R be defined as f(x) = (x^2 - 4)/(x-2) and g: R rarr R be defined by g(x) = x + 2. Find whether f = g or not.

Find the inverse of the function f : R rarr R defined by f(x) = 4x - 7 .

Let f : R rarr R be defined by f(x) = x^(2) + 3x + 1 and g : R rarr R is defined by g(x) = 2x - 3, Find, (i) fog (ii) gof

Let f: R rarr Ris defined by/(x)= 3x + 5. Then

Show f:R rarr R defined by f(x)=x^(2)+4x+5 is into

If f: R rarr R is defined by f(x)=3x+2,\ define f\ [f(x)]\

If f, g : R rarr R be defined respectively by f(x) = 3x + 2 and g(x) = 6x + 5. Find f-g.

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