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Relations and Functions
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Prove that $f: \text{R} \rightarrow \text{R}$ is a bijection given by $f(x) = x^3 + 3$. Find $f^{-1}(x)$. Does the truthfulness and honesty may have any relation?
cbse
class12
additionalproblem
valuebasedproblems2012
ch1
q1
math
sec-b
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asked
Jan 24, 2013
by
pady_1
edited
Jan 24, 2013
by
pady_1
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0
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0
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Prove that $f: R → R $ is a bijection given by $f(x) = x^3+3$. Find $f ^{-1} (x)$. Does the truthfulness and honesty may have any relation?
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Prove that f: R → R is a bijection given by f(x) =$ x^3$ +3. Find$ {f}^{-1} (x).$ Does the truthfulness and honesty may have any relation?
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let A be the set of all students of class XII in a school and R be the relation, having the same *** on A, and then prove that R is an equivalence relation. Do you think, co-education may be helpful in child development and why?
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Jan 24, 2013
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shanthinig
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Show that the function $ f:N \rightarrow N$ given by $f(x) = x -(-1)^x\;for\;all\;x\; \varepsilon\;N $ is a bijection.
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Jan 23, 2013
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If performance of the students ‘y’ depends on the number of hours ‘x’ of hard work done per day is given by the relation. Y = 4 x -$ \frac {x^2} {2} $ Find the number of hours, the students work to have the best performance. ‘Hours of hard work are necessary for success’ Justify.
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Jan 24, 2013
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Check whether the function f (x) =$ x^{100}$ + sin x-1 is strictly increasing or strictly decreasing or none of both on $(-1,1)$ . Should the nature of a man be like this function? Justify your answers
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Jan 24, 2013
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Let $f : A \rightarrow B$ be a given function. A relation R in the set A is given by $R = {(a,b) \varepsilon A \times A : f(a) = f(b)}.$ Check, if R is an equivalence relation.
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Jan 23, 2013
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