Home
Class 12
MATHS
Let f(x) and g(x)be functions which take...

Let `f(x) and g(x)`be functions which take integers as arguments. Let `f(x + y) =f(x)+ g(y) + 8` for all intege x and y. Let f(x) = x for all negative integers x and let `g (8) = 17`. Find f(0).

Text Solution

Verified by Experts

The correct Answer is:
17
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|76 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 11|2 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at 0?

Let f(x+y) = f(x) + f(y) - 2xy - 1 for all x and y. If f'(0) exists and f'(0) = - sin alpha , then f{f'(0)} is

Let f (x) = x^2 and g (x) = sqrtx , then

Let the function f satisfies f(x).f ′ (−x)=f(−x).f ′ (x) for all x and f(0)=3 The value of f(x).f(-x) for all x is

Let f be a function such that f(x+y)=f(x)+f(y) for all xa n dya n df(x)=(2x^2+3x)g(x) for all x , where g(x) is continuous and g(0)=3. Then find f^(prime)(x)dot

Let f((x+y)/(2))= (f(x)+f(y))/(2) for all real x and y . If f'(0) exits and equals -1 and f(0) =1 , then find f(2) .

If f(x-y), f(x) f(y), and f(x+y) are in A.P. for all x, y, and f(0) ne 0, then

Let g(x)=f(x)+f(1-x) and f''(x)<0 , when x in (0,1) . Then f(x) is

Let f : N to N : f(x) =2 x for all x in N Show that f is one -one and into.

Let f: Rrarr R be defined as f(x) = 2x for all x in N , then f is