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Solved Examples
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ee  Use the advertisement to find a function that would give the sale price y for an original price x.
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ee  Find the equation of the inverse of y = 7x.
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ee  Find the equation of the inverse of y = x - 3.
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ee  Find the equation of the inverse of f(x) = x + 42.
[Hint: Replace f(x) with y]
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ee  Find the equation of the inverse of y = 110 x2.
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ee  Find the equation of the inverse of y = x2 - 6.
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ee  Find the equation of the inverse of y = (x - 1)² + 4.
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ee  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.  ee View Solution
ee  Determine whether the function f(x) = 6x + 3 and g(x) = x - 36 inverse functions?
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ee  Use the functions f(x) = 17x - 16 and g(x) = x + 1617, to find
g(f(17)) and g(f(15)).
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ee  Use the functions f(x) = 6x - 6 and g(x) = x + 63, to find f(g(12)) and f(g(6)).
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ee  Find the equation of the inverse of y = 3x.
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ee  Find the equation of the inverse of y = x - 6.
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ee  Use the functions f(x) = 5x - 4 and g(x) = x + 45, to find
g(f(5)) and g(f(3)).
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ee  Find the equation of the inverse of f(x) = x + 24.
[Hint: Replace f(x) with y]
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ee  Draw the given function and its inverse on the same coordinate axes and find an equation for the inverse.
y = 43x - 3  ee
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ee  Find the equation of the inverse of y = 13 x2.
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ee  Find the equation of the inverse of y = x2 - 19.
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ee  Draw the given function and its inverse on the same coordinate axes and find an equation for the inverse.
y = 13x
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ee  Draw the given function and its inverse on the same coordinate axes and find an equation for the inverse.
y = x + 25
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ee  Draw the given function and its inverse on the same coordinate axes and find an equation for the inverse.
y = 3x + 4
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ee  Sketch the graph shown. Also draw its inverse.  ee View Solution
ee  Sketch the graph shown. Also draw its inverse.  ee View Solution
ee  Use the functions f(x) = 5x - 6 and g(x) = x + 63, to find f(g(9)) and f(g(4)).
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ee  Find the equation of the inverse of y = (x - 1)² + 7.
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ee  Sketch the square root function y = x - 3 and state its domain and range.
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ee  Sketch the square root function y = x + 3 and state its domain and range.  ee View Solution
ee  Sketch the square root function y = x + 4 and state its domain and range.  ee View Solution
ee  Sketch the square root function y = x - 2 and state its domain and range.  ee View Solution
ee  Sketch the square root function y = - x - 5 and state its domain and range.  ee View Solution
ee  Sketch the square root function y = -x + 3 and state its domain and range.  ee View Solution
ee  Sketch the square root function y = x - 5 + 3 and state its domain and range.  ee View Solution
ee  Sketch the square root function y = -x + 4 - 3 and state its domain and range.  ee View Solution
ee  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.  ee View Solution
ee  Determine whether the function f(x) = 5x + 1 and g(x) = x - 15 inverse functions?
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ee  Earth is not a perfect sphere, but nearly so, with the approximate surface area 510926783 km2. Find the earth's diameter approximately. (Use π = 3.14)
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ee  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.  ee View Solution
ee  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.
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ee  A rectangular gift box with volume (V) 2156 cm3 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.
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ee  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.  ee View Solution