Archives

The Domain Of F X Cot 1 X Root X 2 X 2 X Belongs To R Is

Solution: (3) √x2 - [x2] > 0 x2 - [x]2 > 0 x ∈ I [x] = x x2 ∈ R - I x2 ≠ I x2 = R - {0, ± 1, ± 2, …. x2 = R - {0, 1, 2, …. x = R... View Article

Let F X 1 X X 2 1 X 2 X 0 Then F

Solution: (4) f (x + [1 / x]) = x2 + (1 / x2) + 2 - 2 = x2 + (1 / x2) + (2) (x2) (1 / x2) - 2 f (x + [1 / x]) = [x + (1 / x)]2 - 2 Put (x +... View Article

Given F X 1 1 X G X F F X And H X F F F X Then The Value Of F X G X H X Is

Solution: (1) f (x) = (1 / [1 - x]) g (x) = f (f (x)) h (x) = f (f (f (x))) g (x) = 1 / (1 - [1 / (1 - x)]) = [1 - x] / -x = [x - 1] / x... View Article

If F X X Root 1 X 2 Then Fofof X

Solution: (2) f (x) = [(x / √1 + x2)] [f (x)]2 = [(x2 / 1 + x2)] (fof) (x) = f (f (x)) = f (x) / √1 + [f (x)]2 = x / [(√1 + x2) (√1 + (x2... View Article

Let F X Sin Pi X And S X F X 0 Then S Doesnot Contain

Solution: (4) f (x) = sin (π / x) [As f (x) > 0] = [x : (π / x) ∈ ⋃ (2nπ + 1) π] ⊇ {x : x ∈ ⋃ [(1 / [2n + 1]), (1 / 2n)] Df ⊇ (1 / 3, 1 /... View Article

The Function F X Lambda Sinx Lambda 2 Cosx G Lambda Has Period Equal To Pi 2 If Lambda Is

Solution: (2) f (x) = λ |sinx| + λ2 |cosx| + g (λ) f (x) is a periodic function with period a f (x + a) = f (x) f (x + [π / 2]) = f (x) λ... View Article

The Inverse Of The Function Y Log A X Root X 2 1 A 0 A 1 Is

Solution: (4) y = loga (x + √x2 + 1) Let f (x) = y x = f-1 (y) (x + √x2 + 1) = ay (x - ay)2 = x2 + 1 x2 + a2y - 2xay = x2 + 1 a2y - 1... View Article

If F X Cos 1 X X 2 Root 1 1 Mod X 1 X 2 1 The Domain Of F X Is

Solution: f (x) = cos-1 (x - x2) + √(1 - [1 / |x|]) + 1 / [x2 - 1] f1 (x) = cos-1 (x - x2) x2 - x - 1 ≤ 0 x = -b ± [√b2 - 4ac] / 2a x = 1... View Article

The Domain Of The Function F X Log 10 Log 10 Log 10 Log 10 X N Times Is

Solution: (4) y = f (x) = log10 log10 log10…log10 x (n times) log10 log10 log10…log10 x > 0 log10 log10 log10…log10 x > 1 log10 log10... View Article

The Period Of F X 1 2 Sinx Cosx Sinx Cosx Is

Let F And G Be Functions Defined By F X X X 1 And G X X 1 X Then Fog 1 X

Solution: (1) (fog)-1 (x) = (g-1 o f-1) (x) Since, f (x) = x + 1 ,y = x + 1 xy + y = x x (1 - y) = y x = y / [1 - y] f-1 (y) = y / [1 -... View Article

Let F X Sin 1 2 X 4 Cos 1 2 X 4 Tan 1 2 X 4 Then D F Is

Solution: (1) -1 ≤ [(2 - |x|) / 4] ≤ 1 -∞ ≤ [2 - 1 * 1] / 4 ≤ ∞ -4 ≤ [2 - 1 * 1] ≤ 4 -6 ≤ - |x| ≤ 2 -2 ≤ |x| ≤ 6 0 ≤ |x| ≤ 6 x ∈ [-6, 6]... View Article

The Domain Of The Function F X 1 Root X 2 2 X 8 Is

Solution: (3) f (x) = 1 / √([x]2 - 2 [x] - 8) [x]2 - 2 [x] - 8 > 0 [x]2 - 4 [x] + 2 [x] - 8 > 0 [x] ([x] - 4) + 2 ([x] - 4) > 0... View Article

The Function F R R Defined By F X 6 X 6 X Is

Solution: (4) f (x) = 6x + 6|x| f (x) ≥ 2 Range = [2, ∞) It is a many one function. Codomain = R Range ≠ codomain It is into function.... View Article

The Period Of F X 3 Sin Pi X 3 4 Cos Pi X 4 Is

Solution: (2) f (x) = 3 sin (πx / 3) + 4 cos (πx / 4) Period of f (x) = LCM of (T1 and T2) T1 = 2π / (π / 3) = 6 T2 = 2π / (π / 4) = 8... View Article

The Range Of The Function Where X Sin Xe X X 2 X X Belongs To 1 Infinity Denotes The Greatest Integer Function Is

Solution: (3) Since -1 < sin θ ≤ 1 ∀ θ ∈ R Rf = [-1, 1]... View Article

Let F X X 2 And G X 2 X Then The Solution Set Of Fog X Gof X Is

Solution: (3) f (x) = x2 and g (x) = 2x f (g (x)) = g (f (x)) f (2x) = g (x2) (2x)2 = 2x^2 22x = 2x^2 2x = x2 2x - x2 = 0 x (2... View Article

Given F X 1 Root X X G X 1 Root X X Then

1) Df ≠ , Dg = 2) Df = , Dg ≠ 3) Df = , Dg = 4) Df = Dg Solution: (1) Df : [x : |x| > x]; = R- [set of all negative real... View Article

The Set Of All X For Which The None Of Functions Is Defined F X Log X 1 X 3 2 And G X 1 Root X 2 9 Is

Solution: (4) logx-1/x+32 (x - 1) / (x + 3) > 0 x ∈ (- ∞, -3) ⋃ (1, ∞) --- (1) (x - 1) / (x + 3) ≠ 1 [(x - 1) / (x + 3)] - 1 ≠ 0 [x -... View Article

How Does Current Flow In A Pn Junction

In a forward-biased PN junction, once the barrier voltage is overcome, it conducts a current. The externally applied potential pushes majority... View Article

M	T	W	T	F	S	S
	1	2	3	4	5	6
7	8	9	10	11	12	13
14	15	16	17	18	19	20
21	22	23	24	25	26	27
28	29	30	31