3.3: Using and Interpreting Function Notation

plz I want ONLY ANSWERS no NEED FOR EXPLANATION also plz write the answers on NEXT TO QUESTIONS ON THE PICTURES THAT I SUBMITTED.

plz I want ONLY ANSWERS no NEED FOR EXPLANATION also plz write the answers on NEXT TO QUESTIONS ON THE PICTURES THAT I SUBMITTED.

plz I want ONLY ANSWERS no NEED FOR EXPLANATION also plz write the answers on NEXT TO QUESTIONS ON THE PICTURES THAT I SUBMITTED.

The length of the sides of a square are initially 0 cm and increase at a constant rate of 8 cm per second. a. Write a formula that expresses the side length of the square, s (in cm), in terms of the number of seconds, t, since the square's side lengths began growing. S Preview b. Write a formula that expresses the area of the square, A (in cm2), in terms of the square's side length, s (in cm). A = Preview c. Write a formula that expresses the area of the square, A (in cm ), in terms of the number of seconds, t, since the square started growing. A = Preview d. Suppose the function f determines the area of the square (in cm-) given a number of seconds, t, since the square started growing. Write a function formula for f. f (t) = Preview SubmitAn expanding rectangle has a xed width of 6 inches and an initial length of 0 inches. The length of the rectangle begins increasing at 2.5 inches per second. a. Write a formula that expresses the length of the rectangle, l (in inches), in terms of the number of seconds, t, since the rectangle began growing. i= :1 Preview b. Write a formula that expresses the perimeter of the rectangle, P (in inches), in terms of the length of the rectangle, I (in inches). P = : Preview c. Write a formula that expresses the perimeter of the rectangle, P (in inches), in terms of the number of seconds. t, since the rectangle began growing. P - : Preview d. Suppose the function 9 determines the perimeter of the rectangle (in inches) given a number of seconds, t, since the rectangle started growing. Write a lnction formula for 9. err) = : Preview Submit a. Write a formula that expresses the radius of a circle, r (in cm), in terms of the circumference of the circle, C (in inches). r = Preview b. Write a formula that expresses the area of the circle, A (in cm ), in terms of the radius of the circle , r (in cm). A = Preview c. Write a formula that expresses the area of the circle, A (in cm-), in terms of the circumference of the circle, C (in inches). A = Preview d. Suppose the function f determines the area of the circle (in cm ) given the circumference of the circle, C (in inches). Write a function formula for f. f(C) = Preview Submita. Define a function f that determines the amount that Kelsey pays (in dollars) for gas to drive m miles, given that Kelsey's car gets 30 miles per gallon and gas costs $3.29 per gallon. f(m) = Preview b. A programmer wants to display how the shape of a rectangle with a fixed perimeter of 320 inches can be changed by varying the rectangle's length and width. Define a function g that determines the area (in square inches) of this rectangle given the rectangle's length l (in inches). g(1) = Preview SubmitSuppose f, g, h, and j are lnctions such that: - f(r) represents the circumference (in cm) of a circle Whose radius is 1\" cm. 0 9(0) represents the radius (in cm) of a circle whose circumference is C cm. - Mr} represents the area (in cm2) of a circle Whose radius is 7' cm. - j(A) represents the radius (in cm) of a circle Whose area is A cmz. a. Use function notation to represent the area of a circle whose circumference is 136 cm. :1 Preview 2 b. Use function notation to represent the circumference of a circle Whose area is 6.22 cm . :1 Preview Submit x2 + (14 - 3x) a. Evaluate f(5) given that f(x) = 9x f (5) = Preview b. Evaluate g(x + 2) given that g(x) = 3x2 - 5x + 9. g(* + 2) = Preview y3 - 6 c. Evaluate h(3x) given that h(y) = 7y h(3x) = Preview SubmitEvaluate each of the following expressions given that: at) = m g(;c) = 3a: 5 Man) = g a. f(g[4)) = |:| Preview b. g(f[75)) = :] Preview 0. h(g(_f(2))} = :] Preview Submit Define the function formula for each of the following given the function definitions for f, g, and h. f(a) = Vax+5 g(2) = 4x - 6 h (z ) 6 a. f(g(x) ) = Preview b. g(f (z) ) = Preview c. h(f(x) ) = Preview SubmitGiven the graphs of the functions, f and g, evaluate the following composed functions for the given input. y 10 8 g 1 2 3 4 a. g(f (1)) = Preview b. f(g(1)) = Preview c. f(f(0.5)) = Preview SubmitThe table shows some input-output pairs for the functions f and g. f (z) g(x) -2 -1 0 2 0 -2 -2 1 0 -1 2 2 a. Evaluate g(f ( - 1)). g(f ( - 1)) = Preview b. Evaluate f(g(0)). f(g(0)) = Preview c. Solve f(g(x)) = 2 for x. a = Preview Submit