Math Chapter Wise question with answer

Q01 Let f: R → → → R where f(x) = 2 x+1, x ∈ R and g: R → → → R where g(x) = x2 – 2, x ∈ R are two function, then (gof)... English · TGT 2009 Q02 Let ((()) 2 1 1 f x x; x 0 x x + = + ≠ + = + ≠ + = + ≠ + = + ≠ then the value of f (x) will be English · TGT 2005 Q03 Let X = {1 2, 3, 4, 5,}, A = {1, 2}, B = {3, 4, 5} and φ denote the void set. If S × T denotes the Cartesians produ... English · EMRS PGT-2023 Q04 Let A = [ 1, ∞ ∞ ∞), B = (3, ∞ ∞ ∞) and C = (–∞ ∞ ∞, 2).Then, (A ∩ B) ∪ (A ∩ C) equals: English · EMRS PGT-2023 Q05 Let A and B be two sets defined by: A = {(x, y): y2 = 3; x, y ∈ R} B = {(x, y): x2 = 2; x, y ∈ R} Then, the number... English · EMRS PGT-2023 Q06 Let S = {x: x is a positive multiple of 3 less than 100} P = {x: x is a prime number less than 20} then, n(S) + n(P... English · EMRS TGT-2023