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If F 0 1 R Is Defined By F X B X 1 Bx Where B Is A Constant Such That 0 B 1 Then

Solution: (1) f : (0,1) → R f-1 : R → (0, 1) y = f (x) = [b –... View Article

Solution: (1) (gof) (x) = g (f(x)) = sinx2 (gogof) (x) = g (g (f (x))) = sin (sin x2)... View Article

Solution: (4) f (g(x)) = (g(x))2 – 2 g(x) + 3 = (x + 1)2 – 2 (x + 1)... View Article

Solution: (1) f (x) = 2x + 3 y = 2x + 3 y – 3 = 2x x =... View Article

Solution: (4) f (x) = x2 + 2bx + 2c2 = (x + b)2 + 2c2 – b2 Minimum of... View Article

Solution: (1) and (2) F : (-1, 1) → R θ ∈ (0, π / 4) ⋃ (π / 4,... View Article

Solution: (3) f (x) = (x + 2)2 – 2 y = (x + 2)2 – 2 y + 2... View Article

Solution: (3) f (x) = [ax + a-x] / 2 f (x + y) = [ax+y + a-(x+y)] / 2,... View Article

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

Solution: (2) f (x) = 3x2 + 1 y = 3x2 + 1 f -1 (x) = √(x – 1)... View Article

Solution: (1) f (x) = (x + 2) / (3x – 1) f {f (x)} = f ((x + 2)... View Article

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

Solution: (4) f (x) = (x + 1)2 for x ≥ -1 g(x) = reflection of f(x) in the line... View Article

Solution: (4) fk(x) = 1 / k (sink x + cosk x) f4 (x) – f6 (x) = 1 /... View Article

Solution: (2) f (x) = x2 – 6x + 7 f ‘ (x) = 2x – 6 f ‘ (x)... View Article

Solution: (1) f (x) = ln (x – [x]) = ln {x} {x} ≠ 0 {x} > 0 Domain: x... View Article

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

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

Solution: (2) f (x) = 2x6 + 3x4 + 4x2 f ‘ (x) = 12x5 + 12x3 + 8x The... View Article

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