Drag the expressions to the correct functions. Not all expressions will be used. Consider the functions fand g. f1 () = 4x2 + 1 g(t) = x2 = r2 – 3 Perform the function compositions. 404 – 24r2 + 36 1614 + 8.12 + 1 404 + 1112 - 3 3 404 – 2402 + 37 - - 4r4 11r2 – 3 16 r4 + 8r2 – 2 = (fog)(x) = (gof)(x) = =

12. decide whether each statement is always true, sometimes true, or never true. a. when corresponding points of an original figure and its reflection are connected, the resulting segments are all perpendicular to the line of reflection. b. when a point is reflected over a horizontal line, the y-coordinate of the point stays the same. answer both questions and explain

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

The american academy of pediatrics wants to conduct a survey of recently graduated family practitioners to assess why they did not choose pediatrics for their specialization. provide a definition of the population, suggest a sampling frame, and indicate the appropriate sampling unit.