iCoachMath.com: Examples on Inverse and Square Root Functions - Quadratic Equations - (AK)
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Solved Examples

Curriculum: Alaska Math Grade Level Expectations   Click to change Curriculum

Topic: Quadratic Equations  Click to change Topic

Lesson: Inverse and Square Root Functions  Click to change Lesson

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BBB Find the equation of the inverse of y = 7x.
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BBB Find the equation of the inverse of y = x - 3.
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BBB Find the equation of the inverse of f(x) = x + 42.
[Hint: Replace f(x) with y]
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BBB Find the equation of the inverse of y = 110 x2.
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BBB Find the equation of the inverse of y = x2 - 6.
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BBB Find the equation of the inverse of y = (x - 1)² + 4.
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BBB 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. BBB View Solution
BBB Determine whether the function f(x) = 6x + 3 and g(x) = x - 36 inverse functions?
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BBB 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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BBB Use the advertisement to find a function that would give the sale price y for an original price x.
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BBB Find the equation of the inverse of y = 3x.
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BBB Find the equation of the inverse of y = x - 6.
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BBB Find the equation of the inverse of f(x) = x + 24.
[Hint: Replace f(x) with y]
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BBB Draw the given function and its inverse on the same coordinate axes and find an equation for the inverse.
y = 43x - 3 BBB
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BBB Find the equation of the inverse of y = 13 x2.
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BBB Find the equation of the inverse of y = x2 - 19.
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BBB 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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BBB 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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BBB 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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BBB Sketch the graph shown. Also draw its inverse. BBB View Solution
BBB Sketch the graph shown. Also draw its inverse. BBB View Solution
BBB Find the equation of the inverse of y = (x - 1)² + 7.
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BBB Sketch the square root function y = x - 3 and state its domain and range.
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BBB Sketch the square root function y = x + 3 and state its domain and range. BBB View Solution
BBB Sketch the square root function y = x + 4 and state its domain and range. BBB View Solution
BBB Sketch the square root function y = x - 2 and state its domain and range. BBB View Solution
BBB Sketch the square root function y = - x - 5 and state its domain and range. BBB View Solution
BBB Sketch the square root function y = -x + 3 and state its domain and range. BBB View Solution
BBB Sketch the square root function y = x - 5 + 3 and state its domain and range. BBB View Solution
BBB Sketch the square root function y = -x + 4 - 3 and state its domain and range. BBB View Solution
BBB 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. BBB View Solution
BBB 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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BBB 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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D   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.   D View Solution
D   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.
   D
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D   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.
   D
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D   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.   D View Solution
D   Use the functions f(x) = 5x - 6 and g(x) = x + 63, to find f(g(9)) and f(g(4)).
   D
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D   Use the functions f(x) = 6x - 6 and g(x) = x + 63, to find f(g(12)) and f(g(6)).
   D
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D   Determine whether the function f(x) = 5x + 1 and g(x) = x - 15 inverse functions?
   D
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