Home
Class 12
MATHS
Functions f and g are defined as follows...

Functions f and g are defined as follows:
`f:R-{1}rarrRR,` where `f(x)=(x^(2)-1)/(x-1)andg: RR rarrRR,`
Where g(x) = x+1,`RR` being the set of real numbers. Is f = g ? Give reasons for your answer.

Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple choice question|28 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Very short answer type questions|80 Videos
  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos
  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

function f and g are defined as follows: f:RR-{1} rarr RR, where f(x) =(x^(2)-1)/(x-1) and g: RR rarr RR g(x)=x+1, RR being the set of real numbers .Is f=g ? Give reasons for your answer.

Functions f and g are defined as follows: f:RR- {2}toRR,"where "f(x)=(x^2-4)/(x-2) and g:RR to RR, where g(x) = x+2. State with reasons whether f = g or not.

Let the function f:RR rarr RR be defined by f(x)=x^(2) (RR being the set of real numbers), then f is __

Let the function f:RR rarr RR be defined by , f(x)=3x-2 and g(x)=3x-2 (RR being the set of real numbers), then (f o g)(x)=

If RR is the set of real numbers and f(x)=|x|,g(x)=x , find the product function fg.

Discuss the bijectivity of the following mapping : f: RR rarr RR defined by f (x) = ax^(3) +b,x in RR and a ne 0' RR being the set of real numbers

Two functions f and g are defined on the set of real numbers RR by , f(x)= cos x and g(x) =x^(2) , then, (f o g)(x)=

Show that , the function f: RR rarr RR defined by f(x) =x^(3)+x is bijective, here RR is the set of real numbers.

If the function f:RR rarr RR and g: RR rarr RR are given by f(x)=3x+2 and g(x)=2x-3 (RR being the set of real numbers), state which of the following is the value of (g o f) (x) ?

Find the image set of the domain of each of the following functions : g:RR to RR defined by, g(x) = x^2+2, for all x in RR, where RR is the set of real numbers.