If `f:R to R ` satisfies f(x+y)=f(x)+f(y), for all x, y `in` R and f(1)=7, then `sum_(r=1)^(n)f(

preview_player
Показать описание
If `f:R to R ` satisfies f(x+y)=f(x)+f(y), for all x, y `in` R and f(1)=7, then `sum_(r=1)^(n)f( r)` is
  1. Doubtnut
Рекомендации по теме
Show that the 0:08:35

Show that the function f: R* to R* defined by f(x)=1/x is one-one and onto. If the domain R* is N

Show that the 0:03:41

Show that the Modulus function f: R to R, given by f(x)=|x| is neither one-one nor onto|CBSE|NCERT|

Function: Example 11 0:07:52

Function: Example 11 Show that f:R to R, defined as f(x)=x^2,is neither one-one nor onto.

Let f:R to 0:03:22

Let f:R to R be defined as f(x)=x⁴ Is f one-one & onto?|CBSE|NCERT|12|Term 1|2022-23|MCQ|Functio...

If `f: R 0:01:38

If `f: R to R and g: R to R ` be two functions defined as `f(x)=x^(2) and g(x)=5x`

XII Relations and 0:04:51

XII Relations and Functions If f R to R be a function defined by fx = 4x^3 + 7, show that the func

If `f:R to 0:02:57

If `f:R to R and g:R to R` are defined by `f(x)=(2x+3) and g(x)=x^(2)+7`, then the values of x

If `f:R to 0:02:39

If `f:R to R ` satisfies f(x+y)=f(x)+f(y), for all x, y `in` R and f(1)=7, then `sum_(r=1)^(n)f(

Let f:R to 0:03:04

Let f:R to R be defined as f(x)=3x Is f one-one & onto?|CBSE|NCERT|12|Term 1|2022-23|MCQ|Functio...

Let the function 0:05:12

Let the function f:R to R be defined by f(x)=2x+sinx, then f is one one onto or not

If `f: R 0:01:41

If `f: R to R and g: R to R ` be two functions defined as f(x)=2x+1 and `g(x)=x^(2

If `f:R - 0:01:22

If `f:R - gt R` is defined by `f(x)=3x-2` then `f(f(x))+2=`

If f:R to 0:02:57

If f:R to R be defined by f(x) =2x+sinx for x in R, then check the nature of the function. | 1...

If R is 0:01:42

If R is the set of real numbers and a function `f: R to R ` is defined as `f(x)=x^(2), x in R

If `f: R 0:06:31

If `f: R to R ` be defined by `f(x) =(1)/(x), AA x in R.` Then , f is

If `f: R 0:01:16

If `f: R to R ` defined as `f(x)=3x+7`, then find `f^(-1)(-2)`

If f:R →R ,g:R →R 0:08:31

If f:R →R ,g:R →R and defined by f(x)=4x-1 and g(x)=x²+2 then find (i) (gof)(x) (ii) (gof)(a+1/4)...

If `f: R 0:02:56

If `f: R - gt R` be defined as `f(x) = 2x + |x|` , then `f(2x)+f(-x)-f(x)` is equal to

Show that the 0:04:08

Show that the signum function f: R to R, given by f(x)=1 if x≥0; 0 if x=0;-1, if x≤0 is neither

A function `f: 0:02:16

A function `f: R to R` is defined as: `f(x) ={{:(1,x in Q)

Let `f : 0:02:13

Let `f : R to R : f (x) =(3-x^(3))^(1//3).`Find f o f

In each of 0:08:20

In each of the following cases, state whether function is one-one, onto or bijective f:R-R f(x)=3-4x

Partial Differentiation Problem- 0:10:48

Partial Differentiation Problem- 3

If `f: R 0:01:41

If `f: R to R ` is defined as f(x)=2x+5 and it is invertible , then `f^(-1) (x)` is