Mathematics ITU Board 2019
a) Define irrational number. Prove that 2 is irrational. b) For functions f: R R ( f(x) = 2x + 1 ) and g: R R ( g(x) = x^2 2 ): Find f g and g f , and verify f g g f .
10A worked answer is on its wayMeanwhile, read the Mathematics I notes for this topic.
Discussion
Loading…
More Mathematics I questions
Solve the inequality 3 + 2x x^2 0 .TU Board 20245Find the domain and range of the function f(x) = 6 x x^2 .TU Board 20245If a, b, c, and d are in G.P., prove that a^2 b^2, b^2 c^2, c^2 d^2 are also in G.P.TU Board 20245Prove that vmatrix 1 + x & 1 & 1 \\ 1 & 1 + y & 1 \\ 1 & 1 & 1 + z \\ vmatrix = xyz ( 1x + 1y + 1z )TU Board 20245Find the equation of the ellipse whose latus rectum is 5 and the eccentricity is 1 2 .TU Board 20245If a = 3 i + j and a b = (1, 2, 2) , find the angle between a and b .TU Board 20245