Relation and Functions – Page 142

Given-that-f-x-2x-7-8-and-g-x-3x-6-6-find-a-g-6-b-f-1-x-c-the-value-of-x-if-f-x-g-x-

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Question Number 86189 by oustmuchiya@gmail.com last updated on 27/Mar/20 $G i v e n t h a t f (x) = \frac{2 x + 7}{8} a n d g (x) = \frac{3 x - 6}{6}, f i n d$ $(a) g (6), (b) f^{- 1} (x) (c) the value of x i f f (x) = g (x)$ Answered by Kunal12588 last updated on 27/Mar/20 $(a) g (6) = \frac{18 - 6}{6} = 2$ $$\left({b}\right)\:{f}^{−\mathrm{1}}…

If-x-1-f-x-f-1-x-1-x-1-find-f-x-

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Question Number 86160 by jagoll last updated on 27/Mar/20 $If (x - 1) f (x) + f (\frac{1}{x}) = \frac{1}{x - 1}$ $find f (x)$ Commented by john santu last updated on 27/Mar/20 $r e p l a c e x b y \frac{1}{x}$ $$\Rightarrow\left(\frac{\mathrm{1}}{{x}}−\mathrm{1}\right){f}\left(\frac{\mathrm{1}}{{x}}\right)+{f}\left({x}\right)=\:\frac{\mathrm{1}}{\frac{\mathrm{1}}{{x}}−\mathrm{1}}…

Given-that-f-x-8x-and-g-x-3x-2-4-find-a-f-1-x-b-an-expression-for-fg-x-c-value-of-x-which-fg-x-20-

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Question Number 86129 by oustmuchiya@gmail.com last updated on 27/Mar/20 $G i v e n t h a t f (x) = 8 x a n d g (x) = \frac{3 x - 2}{4}, f i n d$ $(a) f^{- 1} (x) (b) a n e x p r e s s i o n f o r f g (x)$ $(c) v a l u e o f x w h i c h fg (x) = 20$ Commented by jagoll last updated on 27/Mar/20 $$\left.\mathrm{a}\right)\:\mathrm{f}^{−\mathrm{1}}…

Tbe-function-f-and-g-are-defined-by-f-x-2x-3-and-g-x-3x-Find-a-f-1-x-b-gf-x-c-gf-2-

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Question Number 86030 by oustmuchiya@gmail.com last updated on 26/Mar/20 $T b e f u n c t i o n f a n d g a r e d e f i n e d b y f (x) = 2 x - 3 a n d g (x) = 3 x .$ $F i n d (a) f^{- 1} (x) (b) gf (x) (c) gf (2)$ Commented by Rio Michael last updated on 26/Mar/20 $$\:{f}:\:{x}\:\rightarrow\:\mathrm{2}{x}−\mathrm{3}\:\:\:\mathrm{and}\:\mathrm{g}\::\:{x}\:\rightarrow\:\mathrm{3}{x} \…

Determine-a-relation-between-the-coefficients-a-b-c-d-such-that-the-equation-ax-3-bx-2-cx-d-0-has-three-real-roots-with-a-pair-of-double-roots-

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Question Number 20279 by ajfour last updated on 25/Aug/17 $D e t e r m i n e a r e l a t i o n b e t w e e n t h e$ $c o e f f i c i e n t s a, b, c, d s u c h t h a t t h e$ $e q u a t i o n : {a x}^{3} + {b x}^{2} + c x + d = 0$ $h a s t h r e e r e a l r o o t s (w i t h a p a i r$ $o f d o u b l e r o o t s) .$ Terms of Service…

Question-151208

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Question Number 151208 by liberty last updated on 19/Aug/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

What-is-the-number-of-ordered-pairs-A-B-where-A-and-B-are-subsets-of-1-2-5-such-that-neither-A-B-nor-B-A-

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Question Number 19982 by Tinkutara last updated on 19/Aug/17 $What is the number of ordered pairs$ $(A, B) where A and B are subsets of$ ${1, 2, \dots, 5} such that neither A \subseteq B$ $nor B \subseteq A ?$ Commented by mrW1 last updated on 22/Aug/17…

Let-f-be-a-one-to-one-function-from-the-set-of-natural-numbers-to-itself-such-that-f-mn-f-m-f-n-for-all-natural-numbers-m-and-n-What-is-the-least-possible-value-of-f-999-

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Question Number 19978 by Tinkutara last updated on 19/Aug/17 $Let f be a one - to - one function from$ $the set of natural numbers to itself$ $such that f (m n) = f (m) f (n) for all$ $natural numbers m and n . What is the$ $least possible value of f (999) ?$ Answered by mrW1 last updated…

The-function-of-f-and-g-are-defined-by-f-g-x-bx-2-x-2-b-and-b-0-where-a-and-b-are-real-numbers-g-x-2x-11-a-If-f-2-1-2-and-f-1-1-1-find-a-and-b-and-write-down-the-express

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Question Number 85500 by oustmuchiya@gmail.com last updated on 22/Mar/20 $T h e f u n c t i o n o f f a n d g a r e d e f i n e d b y f : g \to \frac{x}{b x - 2}, x \neq \frac{2}{b} a n d b \neq 0, w h e r e a a n d b a r e r e a l n u m b e r s g : x \to 2 x - 11$ $(a) I f f (2) = \frac{- 1}{2} a n d f^{- 1} (1) = - 1, f i n d a a n d b a n d w r i t e d o w n t h e e x p r e s s i o n f o r f i n t e r m s o f x$ $(b) F i n d t h e v a l u e o f x f o r w h i c h fg (x) = \frac{- 1}{2}$ Answered by john santu last updated on 22/Mar/20…

E-x-2-x-x-3-1-x-x-3-8-2x-2-3-E-2-

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Question Number 150967 by EDWIN88 last updated on 17/Aug/21 $E (x + \frac{2}{x}) = \frac{x^{3} + 1}{x} + \frac{x^{3} + 8}{2 x^{2}} + 3,$ $E (2) = ?$ Answered by john_santu last updated on 17/Aug/21 $$\:\mathrm{E}\left(\mathrm{x}+\frac{\mathrm{2}}{\mathrm{x}}\right)=\frac{\mathrm{x}^{\mathrm{3}}…

Category: Relation and Functions