Question 3. let f: x --> y be a function. (a) recall that for c cy, the inverse image of c is the set f-1(c) = {x e x|f(x) e c}. let a, b cy. prove that f-1(anb) cf-1(a) n f-1(b). (b) recall that for d c x, the image of d under f is the set f(d) = {f(x) e yx e x}. let a, b c x. prove that f(an b) c f(a)n f(b). find an example of a function f and sets a and b such that f(anb) = ø but f(a) n f(b) + ø.

Aboard game uses a fair six-sided die and a spinner with five equal-sized sections colored dark blue, green, light blue, red, and yellow. players roll the die and then spin the spinner. match each probability statement to its correct value.

Select the correct answer. what is the exact value of sin (157.5°)? a. 'sqrt(2 - sqrt(2))/2 b. *"-"'sqrt(2 + sqrt(2))/29 c.'sqrt(2 + sqrt(2))/4" d. "-"sqrt(2 + sqrt(2))/4)

Someone answer asap for ! a ball is rolled down a ramp. the height, f(x), in meters, of the ball x seconds after it is released is modeled by the function f(x) = x²- 10x + 25 for all values of x from 0 to 5. which statement about the ball is true? a. the maximum height of the ball is 5 meters b. the height of the ball increases from 0 to 5 meters above the ground. c. the ball has traveled 5 meters when it reaches the bottom of the ramp. d. the ball has been traveling for 5 seconds when it reaches the bottom of the ramp