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If F X Ax B Cx D Then Fof X X Provided That

Solution: (1) f (f (x)) = [a f(x) + b] / [c f(x) + d] f (f (x)) = [a2x... View Article

1) f (4√2) 2) f (3√2) 3) f (2√2) 4) f (√2) Solution: (1) f (x) = x2 – 3,... View Article

Solution: (3) gof (-5 / 4) = g (f ( -5 / 4)) f ( -5 / 4) = [-5... View Article

Solution: (1) f (x) + 2 f (1 / [1 − x]) = x Put x = 2, f (2)... View Article

1) f (x + 2) – 2 f (x + 1) + f (x) = 0 2) f (x) +... View Article

Solution: (4) f (x) = log [(1 + x) / (1 – x)] f [(3x + x3) / (1 +... View Article

Solution: (2) f (x) = x3 f (x) = y x = f-1 (y) f-1 (y) = y1/3 f-1 (8)... View Article

Solution: (2) Let f (x) = sx and g (x) = logex f {g(x)} = f (log ex) = eloge^x... View Article

Solution: (1) f (x) = 4x + 3 y = 4x + 3 y – 3 = 4x [y –... View Article

Solution: (3) f (x) = (1 – x)⅓ y = (1 – x)⅓ y3 = 1 – x x =... View Article

Solution: (3) f (x) = 2x4 – 13x2 + ax + b is divisible by x2 – 3x + 2... View Article

Solution: (3) g(10) g(11) = g(n) (100 + 10a + b) (121 + 11a + b) = n2 + an... View Article

Solution: (1) f (x + 2y, x – 2y) = xy Let x + 2y = U — (1) x... View Article

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

Solution: (1) f (x) = sin2x + sin2 (x + π/3) + cos x cos(x + π/3) = sin2 x... View Article

Solution: (2) 2f (x) + f (1 – x) = x2 — (1) 2 f (1 – x) + f... View Article

Solution: (2) f (x) = 2x + 3 g (x) = x2 + 7 g {f(x)} = 8 g (2x... View Article

Solution: (3) f {f (x)} = x + 1 f {f (0)} = 0 + 1 ⇒ f (1 /... View Article

Solution: [(1+i)/(1-i)]x = 1 [(1+i)(1+i)/(1-i)(1+i)]x = 1 [(1+i)2/2)]x = 1 [1+2i-1)2]x = 1 (2i/2)x = 1 ix = 1 =>... View Article

Solution: Given |(1/z1)+(1/z2)+(1/z3)| = 1 Hence option (1) is the answer.