Given the following functions: f(x) = x^2
g(x) = x - 3

Find the composition of the two functions and show your process:

g(f(x))

Determine the following data for the quadratic relation f(x) = -3(x+2)(x-3)? i. direction of opening: ii. x-intercepts: iii. y-intecept: iv. axis of symmetry: v. vertex:

Calculate the mean value (expected value) of the following discrete variable x (10 points): x = 0, 1, 2, 3, 4, 5, 6 p(x) = 0.2, 0.2, 0.15, 0.15, 0.15, 0.1, 0.05

Write down in words the number 65 405