Question 1 The function y--2log(3x+ 1) is a) reflected in the x-axis b) reflected in the y-axis c) translated left 3 units d) translated down 1 unit

a. Domain b. Range c. f(-2) d. f(4) e. x-values where f(x)= -2 f. x-intercepts and y-intercepts

Find the area of each trapezoid and the length of the median.

Q2. Let S= f(r) = 4m² be a function whose input (r) is the radius of a sphere (in inches) and whose output (S) is the surface area of the sphere. a) What is the domain of this function? b) Function f has the inverse. Explain why. c) Describe what f¹ does, that is explain what the inputs and outputs are in the context of the question. d) Describe, in words the meaning of f-1 (200) and evaluate the value. e) Explain what it means to solve the equation f(r): = 200? f) Compare the answers to d) and e). What's your conclusion? Write it by completing the sentence f-¹(200) is such a number r, that = 200 g) Based on part f) write the general statement about an inverse ƒ¯¹ f¹__) is such a number r, that_