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Find the distance between the pair of points.(-1, 5) and (-5, -7)

For the given functions f and g , find the indicated composition.f(x) = 4×2 + 4x + 7, g(x) = 4x – 6(g f)(x)

Evaluate the expression .log71

Find the domain and range of the quadratic function whose graph is described.The vertex is (-1, -6) and the graph opens up.

Evaluate or simplify the expression.log 102

Begin by graphing the standard quadratic function f(x) = x2 . Then use transformations of this graph to graph the given function.h(x) = -(x – 6)2 + 7

Determine which two functions are inverses of each other.f(x) = g(x) = 4x – 4 h(x) =

Write the equation in its equivalent exponential form.log3243 = x

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

Find the domain and range of the quadratic function whose graph is described.The vertex is (-1, -7) and the graph opens down.