Latest Posts

If F R R Is Defined By F X 2x 2 X For All X Belongs To R Where X Is The Greatest Integer Not Exceeding X Then The Range Of F Is

Solution: (2) f : R → R [2x] = [x] + [x + (1 / 2)] f (x) = [2x]... View Article

Solution: (4) √1 – 2x 1 – 2x ≥ 0 1 ≥ 2x (1 / 2) ≥ x -1 ≤ [(3x –... View Article

Solution: (2) (π2 / 9) – x2 ≥ 0 x2 – (π2 / 9) ≤ 0 (x – [π /... View Article

Solution: (3) F : x ∈ (-1, 1) g (x) = √3 + 4x – 4x2 Domain of (f +... View Article

Solution: (1) f (x) is defined if a] x – 1 > 0 ⇒ x > 1 b] 2x –... View Article

Solution: (3) f (n) = 8 – n Pn – 4 The domain becomes, 8 – n ≥ 0 and n... View Article

Solution: (2) A function is called even when f (-x) = f (x) f (-x) – f (x) = 0... View Article

Solution: (1) f (x) = x2 + {1 / [x2 + 1]} = [x2 + 1] + {1 / [x2... View Article

Solution: (3) f (x) = [sin 8x cosx – sin6x cos 3x] / [cos2x cosx – sin 3x sin 4x]... View Article

Solution: (3) f (x) = |x| g (x) = [x – 3] g (f (x)) = g (|x|) = [|x|... View Article

Solution: (1) y = sin-1 x, then x lies between -1 and 1. -1 ≤ log3 (x / 3) ≤ 1... View Article

Solution: (4) f (x) = cosec23x + cot 4x The period of cosec²x is π and the period of cosec²3x... View Article

Solution: (3) f (x) = -1 / √4 – x2 √4 – x2 > 0 4 – x2 > 0... View Article

Solution: f : [2, 3] → R f (x) = x3 + 3x – 2 f (2) = 23 +... View Article

Solution: (1) f (x) = 1 / √|x| – x |x| – x > 0 x – x > 0... View Article

Solution: (2) f (x) = √1 + loge (1 – x) 1 – x > 0 loge (1 – x)... View Article

Solution: (2) f (x) = log2 [log3 (log4 x)] Let log4 x = t In log4 x, x > 0... View Article

Solution: (4) g (x) = |3x + 4| fog(x) = f (g(x)) = f (|3x + 4|) The domain is... View Article

Solution: (3) f (x) = [x / (1 + x2)] 1 + x2 ≠ 0 x2 ≠ -1 x ∈... View Article

Solution: (2) f (x) = √cos-1 [(1 – |x|) / 2] 0 ≤ cos-1 θ ≤ π -1 ≤ [(1 –... View Article