PSEB-RELATIONS AND FUNCTIONS-Exercise
- Prove that greatest integer function f: RrarrR, given by f (x) = [x], ...
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- Prove that Modulus Function f: R rarr R given by : f(x) = | x | is nei...
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- Show that the Signum Function f:RrarrR given by f(x) = {(1,,if x>0,,)...
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- Let A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} b...
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- In the following case, state whether the function is one-one, onto or ...
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- In the following case, state whether the function is one-one, onto or ...
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- Let f:NrarrN be defined by, f(n) = {((n+1)/2,,if n is odd,,),(n/2,,if ...
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- Let A=R-{3} and B=R-{1} . Consider the function f:A–>B. defined by f(x...
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- Let f : RrarrR be defined as f (x) = 3x Choose the correct answer.
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- Let f : (2, 3, 4, 5} rarr ( 3, 4, 5, 9} and g = (3, 4, 5, 9} rarr (7, ...
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- Let f, g and h be functions from R to R. Show that (f + g)oh = foh + g...
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- Find gof and fog, if f(x) = |x| and g(x) = |5x -2|
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- Find gof and fog, if f(x) = 8x^3 and g(x) = x^(1/3)
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- If f(x)=(4x-3)/(6x-4) ,x != 2/3 show that f@f(x) =xfor all x != 2/3.wh...
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- State with reason whether following functions have inverse: f: {1,2,3,...
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- State with reason whether following functions have inverse: g: {5,6,7,...
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- State with reason whether following functions have inverse: h: {2,3,4,...
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- Consider f : R → R given by f(x) = 4x + 3. Show that f is invertible. ...
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- Consider f : R+rarr [4, oo) given byf (x) = x^2 + 4 Show that f is inv...
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- Consider f : {1, 2, 3} rarr {a, b, c}, given by f (1) = a, f (2) = b ...
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