MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
- Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6...
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- In the following case, state whether the function is one-one, onto or ...
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- Let A and B be sets, show that f : A xx B rarr B xx A such that f(a,b...
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- Let f: N to N be defined by f(n) = {{:((n+1)/2, " if n is odd "),(n/2,...
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- Let A =R-{3} and B=R-{1}. Consider the function f : A to B defined by ...
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- Let f : R rarr R be defined as f(x) = x^4. Choose the correct answer.
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- Let f : RrarrR be defined as f (x) = 3x Choose the correct answer.
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- If f:(1,3,4} rarr {1, 2,5} and g:(1,2,5) {1,3} be given by f = {(1, 2)...
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- Let f,g and h be function from R to R. Show that (f+g) o h = foh + goh
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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 ne 2/3 , show that (fof) (x) = x for all ne ...
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- State with reason whether following functions have inverse: h: {2,3,4,...
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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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- Show that f: [ -1, 1] rarr R, given by f(x)= (x)/(x+2) is one-one. Fin...
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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: Rrarr[-5, oo] given by f(x) = 9x^2 + 6x - 5. Show that f ...
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- Let f : X rarr Y be an invertible function. Show that f has unique inv...
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