Solution: (3) f (x) = x − [x] The greatest integer function is [x]. For different values of x, the same values of the function exist.... View Article
Solution: a f (x) + bf (1 / x) = x - 1 (i) at x = 2, a f (2) + bf (1 / 2) = 2 - 1 = 1 --- (1) * a (ii) at x = 1 / 2, a f (1 / 2) + bf (2) =... View Article
Solution: (3) f (x) = √x2 - |x| + 1 / (√9 - x2) f (x) is defined if 9 > x2 and x2 ≥ |x| -3 < x < 3 and x ∈ (-1, 0) ⋃ (0, 1) Df =... View Article
1) f (x + 2) - 2 f (x + 1) + f (x) = 0 2) f (x) + f (x + 1) = f (x (x + 1)) 3) f (x1) f (x2) = f (x1 + x2) 4) f (x1) + f (x2) = f ([x1 + x2] /... View Article
Solution: (3) f (x) = f [(x + 1) / (x + 2)] f (-x) = f ([-x + 1] / [-x + 2]) -- (1) f (x) = f ([-x + 1] / [-x + 2]) Take f-1 on both sides,... View Article
Some of the examples of oscillatory motions are to and fro motion of the pendulum of the clock, vibrations of atoms about their mean position.... View Article
Can we see inverted images in any mirror? An inverted image cannot be seen on a plane mirror and a convex mirror. The image will be real and... View Article
What is the power of lens of focal length 50 cm? The power of the lens is always given as the reciprocal of focal length. For the focal length of... View Article