- Function Composition Inverses Root Functions O Consider The Function Whose Input Value Is Time Of Day And Whose Corres 1 (180.67 KiB) Viewed 67 times
Function Composition, Inverses, Root Functions O Consider the function whose input value is time of day and whose corresponding output value Is temperature at that time of day, rounded to the nearest degree. Is this a one-to-one function? Explain. 2. Consider the function whose input value is a date and whose corresponding output value is the price of gold, rounded to the nearest dollar. Is this a one-to-one function? Explain. 3. The function f(x) = Sp a. Find the inverse of the function f(x). b. What is f-¹(-17)? 9 4. The function f(x) = 0.1x +81 describes the number of games won by a major league baseball team, where x is a number of runs scored. a. Find the inverse of the function f(x). b. What is f-1((100)) ? +32 converts Celsius temperature, a, to Fahrenheit. 5. Suppose R(t) = 3t + 2 is a function that gives the radius of a circular oil spill at t minutes. Suppose A(r) is the formula for area of a circle with radius 7. a. Find an expression for A(R(t)). b. Interpret the meaning of A(R(t)) in a complete sentence. 6. Suppose R(t) = t +2 is a function that gives the radius (in millimeters) of a circular screen saver after t seconds. Suppose A(r) is the formula for area of a circle with radius r. a. Find an expression for A(R(t)). b. Interpret the meaning of A(R(t)) in a complete sentence. g(x)= ✪ 7. Use function composition to determine if the following functions are inverses: f(x) = 3x +5, = 1 3x + 5