#1
June 28th, 2016, 10:50 AM
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Functions IIT JEE
Hello sir I am here as I want to get some sample question of SET, Relations and Functions of IIT JEE so will you please provide me that??
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#2
June 28th, 2016, 10:51 AM
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Re: Functions IIT JEE
As per your demand here I am providing you sample question of SET, Relations and Functions of IIT JEE 1. Given are two sets A {1, 2, -2, 3} and B = {1, 2, 3, 5}. Is the function f(x) = 2x - 1 defined from A to B? 2. A function f is defined as f: N -> N (where N is natural number set) and f(x) = x+2. Is this function ONTO? 3. Find the range and domain of the function f(x) = (2x+1)/(x-1) and also find its inverse. 4. Find domain and range of the function f(x) = (x2+2x+3)/(x2 5. Find the period of following functions (a) cos3 x + sin 5 x (b) |cos x| + |sin2 x| (c) x - |x|. 6. Show that the inverse of a linear fraction function is always a linear fraction function (except where it is not defined). 7. Show that the following functions are even (a) f(x) = x2 (b) f(x) = (ax+a-x)/2 (c) f(x) = x2 8. Show that following functions are odd. (a) f(x) = (ex (b) f(x) = log((1-x)/(1+x)) (c) f(x) = √(1+x+x2 9. If f(x) = 1 + x; 0 < x < 2 = 3 - x; 2 < x < 3 Determine (a) g(x) = f(f(x)) (b) f(f(f(x))) (c) f([x]) (d) [f(x)] Where [ ] represents the greatest integer function. |
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