For the given functions f and g , find the indicated composition.f(x) = 4×2 + 2x + 3, g(x) = 2x – 8(g f)(x)

Evaluate or simplify the expression.ln

Begin by graphing the standard square root function f(x) = . Then use transformations of this graph to graph the given function.g(x) = – – 2

Begin by graphing the standard quadratic function f(x) = x2 . Then use transformations of this graph to graph the given function.h(x) = -(x – 5)2 – 2

Find the axis of symmetry of the parabola defined by the given quadratic function.f(x) = -x2 + 12x + 2

Use the graph of the function f, plotted with a solid line, to sketch the graph of the given function g.g(x) = f(x) – 2

Given functions f and g, perform the indicated operations.f(x) = 5x – 3, g(x) = 8x – 8Find f – g.

Find the midpoint of the line segment whose end points are given.(4, 6) and (6, 2)

Find the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = (x + 2)2 – 8

Use the graph of the function f, plotted with a solid line, to sketch the graph of the given function g.g(x) = -f(x – 1) – 1