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The Domain Of Definition Of The Function F X Root Log 10 5x X 2 4 Is

Solution: (1) f (x) = √log10 [5x – x2] / 4 = [log10 [5x – x2] / 4]½ [log10 [5x... View Article

Solution: (2) f (x) = sin4x + cos4x = (sin2 x + cos2 x)2 – 2 sin2 x cos2 x... View Article

Solution: (4) f (x) = exp (√5x – 3 – 2x2) 5x – 3 – 2x2 ≥ 0 -2x2 +... View Article

Solution: (4) [x – 1] / x ≥ 0 ⇒ x ≥ 1 and x = 0 Domain is (-∞, 0... View Article

Solution: f (x) = √5 – 4x – x2 + x2 log (x + 4) log a ⇒ a >... View Article

Solution: (2) f (x) = cos-1 x The domain of f (x) is the same as the range of values... View Article

Solution: (3) The given function is not differentiable at x ∈ I, neither it satisfies for the even and odd... View Article

Solution: (2) f (x) = |sin x| + |cos x| The period of sinx is π and cosx is π.... View Article

Solution: (2) f (x) = 1 / [2 – cos 3x] 2 – cos 3x ≠ 0 cos 3x ≠ 2... View Article

Solution: (3) f (x) = √4 – x2 / sin-1 (2 – x) Consider √4 – x2 > 0 4... View Article

Solution: (1) f (x) = sin-1 (x – 3) / √9 – x2 Consider sin-1 (x – 3) -1 ≤... View Article

Solution: (4) f (x) = sin x -√3 cos x + 1 -√a2 + b2 ≤ a cos θ +... View Article

Solution: (4) f (x) = cos x – sin x = √2 [cosx (1 / √2) – sinx (1 /... View Article

Solution: (2) f (x) = sin-1 (log2 [x2 / 2]) -1 ≤ (log2 [x2 / 2]) ≤ 1 -1 ≤ (log2 [x2... View Article

Solution: (1) f (x) = log10 (√x – 4 + √6 – x) If loga is present, then a >... View Article

Solution: (3) f (x) = sin (sin [x / 5]) The period of sinx is 2π. sin [sin (x +... View Article

Solution: (5) f (x) = a{tan (π) + x – |x|} = atanπx ax Period of f (x) is 1.

Solution: (2) f (x) = tan-1 [2x / (1 – x2)] Put x = tany = tan-1 [2 tany /... View Article

The largest interval lying in (-π / 2, π / 2) on which the function, defined as 1) [0, π]... View Article

Solution: (2) f (x) = log (x + √x2 + 1) Even function: f (-x) = f (x) f (-x)... View Article