Let X = {a,b,c,d} then one - one mapping f : X → X such that f(a) = a, f(b) ≠b, f(d) ≠d are given by (i) {(a,a), (b,c), (c,d), (d,b)} (ii)... View Article
The domain of the function f (x) = 21-xC3x-1 + 25-3xP5x-3 is 1) {1,2,3} 2) {2,3} 3) {2,3,4} 4) {2,3,4,5} Solution: (1) 21 – x > 0, 3x... View Article
Solution: (1) f (x) is undefined for – 4 ≤ x ≤ 3 g (x) is not defined for x2 – 16 ≤ 0 f (x) and g (x) are not defined on [– 4, 3].... View Article
Solution: (3) f (x) f (y) - f (xy) = x + y x, y ∈ R always true If y = 0, f (x) f (0) - f (x . 0) = x + 0 f (x) f (0) - f (0) = x f (0) [f... View Article