Recent content by Gwyddel

Thank you all for your valuable help!

Why is 0 not in the domain of 3exp(2x) ?

Ah, okay, so correcting my silly arithmetic error. x2 = 12/48 = 1/4 x = plusorminus sqrt(1/4) = 1/ (plusorminus sqrt(4)) x= 1/2, -1/2 (which is not accepted because it is not on the interval (0, ∞), the domain of f ° g).

Oh! That was very silly of me. 3eln(4x)2 = 3(16x2) = 48x2 48x2 = 12 x2 = 12/48 = 1/2 x = 1/√2, x = -1/√2 Exclude x = -1/√2 because it is outside the domain of fg?

Homework Statement The function f has domain (-∞, ∞) and is defined by f(x) = 3e2x. The function g has domain (0, ∞) and is defined by g(x) = ln 4x. (a) Write down the domain and range of f∘g. (b) Solve the equation (f∘g)(x) = 12 2. The attempt at a solution (a) Is it correct...

Homework Statement A uniform beam AB of mass 4.5 kg is 1.6 m long. A mass of M kg is attached to end A and a mass of 3 kg is attached to end B. The beam rests horizontally in equilibirum on a smooth support at point C, where AC = 0.5 m. Calculate the value of M and the reaction of the support...