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The Domain Of The Function F X 21 X C 3x 1 25 3x P 5x 3 Is

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}... View Article

Solution: (2) f (x) = x4 + 2 x = (y – 2) (1 / 4) f-1 (x) = (x... View Article

Solution: (1) f (x) is undefined for – 4 ≤ x ≤ 3 g (x) is not defined for x2... View Article

Solution: (4) f (x) = cos-1 [log3 (x / 4)] -1 ≤ log3 (3 / 4) ≤ 1 -log 3 ≤ log (x... View Article

Solution: (2) 2m = 2n + 48 2n [2m-n – 1] = 24 – 3 2n-4 [2m-n – 1] =... View Article

1) [-1 / 6, π / 3] 2) [5π / 3, 6] 3) [-1 / 5, π / 3] ⋃... View Article

Solution: (3) f (x) f (y) – f (xy) = x + y x, y ∈ R always true If... View Article

|(x / [x + 1])| < 10-5 hold if 1) -105 < x + 1 < 10-4 2) -(100001)-1 <... View Article

Domain of definition of the function f (x) = 3 / [4 – x2] + log10 (x3 – x) is... View Article

Solution: (4) f (x) = sinx – √3 cosx + 1 -√(1)2 + (√3)2 ≤ sinx – √3 cosx ≤... View Article

Solution: (2) 5-xPx-1 = (5 – x)! / (6 – 2x)! Now (5 – x) > 0, (x – 1)... View Article

Solution: (4) f (x) = [3x + 3-x] / 2 f (x + y) + f (x – y) =... View Article

Solution: (3) f (x) = [1 – x] / [1 + x] (f (cos 2θ)) = [1 – (cos 2θ)]... View Article

1) [(4n – 1)π / 2, (4n + 1)π / 2] 2) [(4n – 1)π / 2, (4n + 1)π... View Article

Solution: (4) fog = f (g (x)) = 2 (g (x) – 3) g(x) = x3 + 5 f (g... View Article

Solution: (4) f (x) = [x sin ɑ] / [x + 1] fof (x) = [x sin2 ɑ] / [x... View Article

Solution: (3) f (x) = secx + tanx f (-x) = sec (-x) + tan (-x) = secx – tanx... View Article

Solution: (2) f (x) = [x – [x]] / [1 + x – [x]] x = [x] + {x} x... View Article

If f (x) =then f (1) + f (2) + f (3) + …. f (100) is equal to 1)... View Article

Solution: (3) ∑r=1n f (r) = f (1) + f (2) + …. f (n) = (f (1) + f... View Article