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e Use the advertisement to find a function that would give the sale price y for an original price x. e

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e Find the equation of the inverse of f(x) = x + 42. [Hint: Replace f(x) with y] e

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e Find the equation of the inverse of y = 110 x^{2}. e

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e Find the equation of the inverse of y = x^{2}  6. e

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e Find the equation of the inverse of y = (x  1)² + 4. e

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e The period T (in seconds) of a simple pendulum is approximated by the function T = 2.01l, where l is the length of the string in meters. Find the period of oscillation when the length of the string is 30 cm. e

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e Determine whether the function f(x) = 6x + 3 and g(x) = x  36 inverse functions? e

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e Use the functions f(x) = 17x  16 and g(x) = x + 1617, to find g(f(17)) and g(f(15)). e

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e Use the functions f(x) = 6x  6 and g(x) = x + 63, to find f(g(12)) and f(g(6)). e

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e Use the functions f(x) = 5x  4 and g(x) = x + 45, to find g(f(5)) and g(f(3)). e

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e Find the equation of the inverse of f(x) = x + 24. [Hint: Replace f(x) with y] e

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e Draw the given function and its inverse on the same coordinate axes and find an equation for the inverse. y = 43x  3 e

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e Find the equation of the inverse of y = 13 x^{2}. e

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e Find the equation of the inverse of y = x^{2}  19. e

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e Draw the given function and its inverse on the same coordinate axes and find an equation for the inverse. y = 13x e

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e Use the functions f(x) = 5x  6 and g(x) = x + 63, to find f(g(9)) and f(g(4)). e

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e Draw the given function and its inverse on the same coordinate axes and find an equation for the inverse. y = x + 25 e

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e Draw the given function and its inverse on the same coordinate axes and find an equation for the inverse. y = 3x + 4 e

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e Find the equation of the inverse of y = (x  1)² + 7. c

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c Sketch the square root function y = x  3 and state its domain and range. c

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c Earth is not a perfect sphere, but nearly so, with the approximate surface area 510926783 km^{2}. Find the earth's diameter approximately. (Use π = 3.14) c

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c Sketch the square root function y = x + 3 and state its domain and range. c

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c Sketch the square root function y = x + 4 and state its domain and range. c

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c Sketch the square root function y = x  2 and state its domain and range. c

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c Sketch the square root function y =  x  5 and state its domain and range. c

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c Sketch the square root function y = x + 3 and state its domain and range. c

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c Sketch the square root function y = x  5 + 3 and state its domain and range. c

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c Sketch the square root function y = x + 4  3 and state its domain and range. c

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c The period T (in seconds) of a simple pendulum is approximated by the function T = 2.01l, where l is the length of the string in meters. Find the period of oscillation when the length of the string is 25 cm. c

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c Determine whether the function f(x) = 5x + 1 and g(x) = x  15 inverse functions? c

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c The diameter of a tennis ball is between 6.34 cm and 6.68 cm. Write an absolute value inequality that describes the diameter (d) range of a tennis ball. c

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c The weight (w) of the soccer ball used by the age group 8 to 12, vary from 373 grams to 403 grams, inclusive. Write an absolute value inequality describing the weights of soccer balls that are outside the acceptable range. c

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c A rectangular gift box with volume (V) 2156 cm^{3} and a height of h cm has a square base. Write an equation to find the length of one side of the base and find the value of it for h = 11 cm. c

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c The manufacturer of a particular equipment for fitness, claims that the reduction in weight (w) resulting by using this equipment satisfies the inequality  w  18  ≤ 8. Find the maximum weight in pounds reduced by using that equipment as claimed by the manufacturer. c

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