For the given functions, f(x) = √(4x) and g(x) = 8x + 12

Find f - g and write the domain.

For the given functions, f(x) = √(x - 11) and g(x) = √(11 - x)

Find f + g and write the domain.

For the following circle equation, complete the squares in order to write the whole equation in standard form. Identify the center and radius, and then graph.

x² + y² - 4x + 18y + 21 = 0

For the following circle equation, complete the squares in order to write the whole equation in standard form. Identify the center and radius, and then graph.

x² + y² - 14y - 15 = 0

Consider the three functions f(x) = 3x -8, g(x) = 5x - 4, and h(x) = x² + 2x + 6. Find the value of f(g[h(1)]) without forming the equation for the composite function.

For the given function, find the domain (in interval notation). h(x) = 5x/(x² - x - 30)