Relation and Functions – Page 3

let-f-R-R-be-a-continuous-function-then-show-that-1-if-f-x-f-x-2-x-R-then-f-is-a-constant-function-2-if-f-x-f-2x-1-x-R-then-f-is-a-constant-function-

Tinku Tara May 11, 2024 Relation and Functions 0 Comments

Question Number 207314 by universe last updated on 11/May/24 $let f : R \to R be a continuous function then$ $show that$ $(1) if f (x) = f (x^{2}) \forall x \in R then f is a constant$ $function$ $(2) if f (x) = f (2 x + 1) \forall x \in R then f is a$ $constant function$ Answered by…

Let-f-be-a-function-with-the-following-properties-i-f-1-1-ii-f-2n-n-f-n-for-any-positive-integer-n-Find-the-value-of-f-2-10-a-1-b-2-10-c-2-35-d-2-45-

Tinku Tara May 6, 2024 Relation and Functions 0 Comments

Question Number 207085 by necx122 last updated on 06/May/24 $L e t f b e a f u n c t i o n w i t h t h e f o l l o w i n g$ $p r o p e r t i e s : (i) f (1) = 1 (i i) f (2 n) = n . f (n) f o r$ $a n y p o s i t i v e i n t e g e r n . F i n d t h e v a l u e$ $o f f (2^{10})$ $a) 1 b) 2^{10} c) 2^{35} d) 2^{45}$ Answered by…

If-the-nth-term-of-a-sequence-is-given-by-n-2-2n-4-what-is-the-sum-of-n-terms-of-the-sequence-

Tinku Tara May 3, 2024 Relation and Functions 0 Comments

Question Number 206993 by necx122 last updated on 03/May/24 $I f t h e n t h t e r m o f a s e q u e n c e i s$ $g i v e n b y \frac{n^{2} - 2 n}{4}, w h a t i s t h e s u m o f n$ $t e r m s o f t h e s e q u e n c e ?$ Answered by Rasheed.Sindhi last updated on 03/May/24 $$\underset{{k}=\mathrm{1}}…

Question-206442

Tinku Tara April 14, 2024 Relation and Functions 0 Comments

Question Number 206442 by universe last updated on 14/Apr/24 Answered by Berbere last updated on 14/Apr/24 $l e t f (x) = e^{g (x)}; p a r t i c u l a r S o l u t i o n j u s t t o s i m p l i f i e$ $t h e p r o b l e m s; f (0) = 1 = e^{g (0)} \Rightarrow g (0) = 0$ $$\Rightarrow{f}'\left({x}\right)={g}'{e}^{{g}\left({x}\right)} ;{f}''\left({x}\right)=\left({g}'^{\mathrm{2}} +{g}''\right){e}^{{g}\left({x}\right)}…

Question-206151

Tinku Tara April 8, 2024 Relation and Functions 0 Comments

Question Number 206151 by cortano21 last updated on 08/Apr/24 Answered by dimentri last updated on 08/Apr/24 $x = 2 \Rightarrow f (3) = 4$ $x = 1 \Rightarrow f (3) = g^{- 1} (1)$ $g (4) = g (f (3)) = g (g^{- 1} (1)) = 1$ …

Question-206136

Tinku Tara April 7, 2024 Relation and Functions 0 Comments

Question Number 206136 by cortano21 last updated on 07/Apr/24 Answered by A5T last updated on 07/Apr/24 $f (f (f (f (x)))) = {[f (x)]}^{2} - 3 [f (x)] + 4 = f (x^{2} - 3 x + 4)$ ${[f (2)]}^{2} - 3 [f (2)] + 4 = f (2) \Rightarrow {[f (2)]}^{2} - 4 f (2) + 4 = 0$ $$\left[{f}\left(\mathrm{2}\right)−\mathrm{2}\right]^{\mathrm{2}}…

write-the-following-recursive-function-in-explicit-form-f-1-1-f-n-1-n-1-f-n-n-

Tinku Tara April 3, 2024 Relation and Functions 0 Comments

Question Number 205919 by Red1ight last updated on 03/Apr/24 $write the following recursive function in explicit form$ $f (1) = 1$ $f (n + 1) = (n + 1) f (n) + n!$ Answered by Tinku Tara last updated on 03/Apr/24 $${f}\left({n}\right)=\left({n}\right){f}\left({n}−\mathrm{1}\right)+\left({n}−\mathrm{1}\right)!…

nature-of-the-serie-n-1-ln-n-n-

Tinku Tara March 13, 2024 Relation and Functions 0 Comments

Question Number 205262 by mathzup last updated on 13/Mar/24 $n a t u r e o f t h e s e r i e \sum_{n ⩾ 1} \frac{l n (n)}{n}$ Answered by Berbere last updated on 13/Mar/24 $\forall n ⩾ 2 l n (n) ⩾ l n (2) > \frac{1}{2}$ $$\underset{{n}\geqslant\mathrm{1}} {\sum}\frac{{ln}\left({n}\right)}{{n}}\geqslant\frac{\mathrm{1}}{\mathrm{2}}\underset{{n}\geqslant\mathrm{1}} {\sum}\frac{\mathrm{1}}{{n}}\rightarrow+\infty\:{serie}\:{dv}…

soit-f-R-3-R-3-f-x-y-z-x-y-2x-y-x-z-1-Ecrire-la-matrice-M-de-cette-application-dans-la-base-canonique-B-de-R-3-2-Calculer-f-1-2-3-de-2-manieres-differentes-en-utilisant-la-definit

Tinku Tara February 18, 2024 Relation and Functions 0 Comments

Question Number 204478 by a.lgnaoui last updated on 18/Feb/24 $soit f : R^{3} \to R^{3} f (x, y, z) = (x + y, 2 x - y, x + z)$ $∙ 1 Ecrire la matrice M de cette application$ $dans la base canonique B de R^{3}$ $∙ 2 Calculer f (1, 2, 3) de 2 manieres differentes$ $- en utilisant la definition de f$ $- en utilisant la matrice M$ $$\bullet\mathrm{3}\:\:\mathrm{determiner}\:\mathrm{bsse}\:\mathrm{de}\:\mathrm{Ker}\left(\:\boldsymbol{\mathrm{f}}\right)\:\mathrm{et}\:\mathrm{de}\:{I}\mathrm{m}\left(\boldsymbol{\mathrm{f}}\right)…

let-a-b-gt-0-find-all-differentiable-function-f-0-0-such-that-f-a-x-bx-f-x-x-gt-0-

Tinku Tara February 17, 2024 Relation and Functions 0 Comments

Question Number 204426 by universe last updated on 17/Feb/24 $let a, b > 0 find all differentiable function$ $f : (0, \infty) \to (0, \infty) such that$ $f^{'} (\frac{a}{x}) = \frac{bx}{f (x)}, \forall x > 0$ Answered by MrGaster last updated on 03/Feb/25 $$\mathrm{Let}\:{f}\left({x}\right)=\sqrt{{bx}^{\mathrm{2}} +{c}},{c}=\frac{{a}^{\mathrm{2}}…

Category: Relation and Functions