Description 1. If f(x) = 2x + 1 and g(x) = x2, what is f ? g? What is g ? f? 2. Consider f(x) = 2x + 3. Find the inverse of this function. Verbally, compare what f does to x (“multiply by 2, then add 3”) to what f-1 does to x. 3. Consider f(x) = x2 + 3, x < 0. What is the inverse of this function?
Description Let be the set of all calendar dates from 4/30/1789 to 9/25/2014. Let be the set of names of U.S. presidents. Let be the set of names of first ladies of the U.S. Consider the following two functions where is the name of the president of the U.S. on date (the incumbent on inauguration days, to avoid ambiguity) and where is the name of the first lady of the U.S. during the presidency of president . 1. Can the composition be defined? What about ? 2. Which of the following functional inverses exist and which do not? , , ,
Description can someone complete the questions on the sheet and help me understand it :/ I provided some answrs from hte answer sheet but i still dont understand it.
Description 1. What is the equation of the line through (1,2) and (3, -1)? 2. What is the vertex of f(x) = x2 – 6x + 3? 3. Using points, straight lines, and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.
