22, 23, 24 Inverse Function Code PuzzleFor each function, find the inverse function (A to Y) below.1y:32 y = 2x + 53 y = x4 y = x- 75 y = 2 – x6 y = -5x7 y = 2x' – 34a y=x +89 y=1211 y = Vx +110 y = x12 y = 4 + 3x3x' - 210 – x113 y14 y15 у3316 yx +12х —1118 у 32х17 y = 19 – x19 y = 6x20 y = x + 1021 y = 2x +122 y = 2x123 у 324 y = -x + 622x + 4II Answer code4A y = -By = xC y = /2x + 2D y =x' -1E y = xF у3 - 2х — 12G y = x + 7Hy=х — 4Ty =10 – 3xJy = 3xKy =Ly = 2 - xN y =o yPy = 9 – xМу- + 1- 1a y =1sy =2хTy =x – 1Ry = 12x – 8х — 5V y =1U y =-2x + 12w y-Ху3х— 102хx + 3Y y =2.2.3.2.

Answered: Image /qna-images/answer/ef86305f-5c0c-452b-821a-ebca3b230f79.jpg

Answered: 22 y = 2x 23 у - 24 y = --x+ 6 2x + 4…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 44E

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The function y=0.03x2+245.50,0x100 approximates the exhaust temperature y in degrees Fahrenheit, where x is the percent load for a diesel engine. (a) Find the inverse function. What does each variable represent in the inverse function? (b) Use a graphing utility to graph the inverse function. (c) The exhaust temperature of the engine must not exceed 500 degrees Fahrenheit. What is the percent load interval?
inverse of the function x= 2/ y-3
a. Find the inverse of ƒ(x) = -x + 1. Graph the line y = -x + 1 together with the line y = x. At what angle do the lines intersect? b. Find the inverse of ƒ(x) = -x + b (b constant). What angle does the line y = -x + b make with the line y = x? c. What can you conclude about the inverses of functions whose graphs are lines perpendicular to the line y = x?
1. Suppose that x and y vary inversely. Write a function that models each inverse variation. Graph the function and find y when x = 10. x = 1 when y = 11. x = 1 when y = 1 x = 1.2 when y = 3
When you use a spray can and press the valve at the top, you decrease the pressure of the gas in the can. This decrease of pressure causes the volume of the gas in the can to increase. Because the gas needs more room than is provided in the can, it expands in spray form through the small hole near the valve. In general, if the temperature is constant, the pressure, P, of a gas in a container varies inversely as the volume, V, of the container. The pressure of a gas sample in a container whose volume is 8 cubic inches is 12 pounds per square inch. If the sample expands to a volume of 22 cubic inches, what is the new pressure of the gas?
3. If the function is one-to-one and has x and y-values of (5, 0), what is its inverse values? a. (5, 0) b. (0,-5) c. (0, 5) d. (-5, 0)
Algorithmic Relationship For many species of fish,the weight W is a function of the length x, given byW = kx3, where k is a constant depending on thespecies. Suppose k = 0.002, W is in pounds, and x isin inches, so the weight is W(x) = 0.002x3.a. Find the inverse function of this function.b. What does the inverse function give?c. Use the inverse function to find the length of afish that weighs 2 pounds.d. In the context of the application, what are thedomain and range of the inverse function?
Temperatures are normally expressed in degrees Celcius or degrees Fahrenheit. A temperature reading expressed in degrees Celsius can be converted to degrees Fahrenheit, and vice versa.a. Determine a function F that expresses a given temperature in degrees Fahrenheit to degrees Celsius.Solution:b. Determine a function C that expresses a given temperature in degrees Celsius to degrees Fahrenheit.Solution:c. Verify if the functions F and C are inverse Functions.Solution:d. Determine the domain and range of the functions and its inverse.
Temperature is measured usually, by Fahrenheit, Celsius or Kelvin Tc=(5/9) (TF- 32) Tk= (5/9) (TF+ 459.67) Find the inverse of both temperature scales. Construct a labeled plot for both the original and the inverse for both scales. What do these functions now represent? You may use these to provide evidence for the following inquiries. Is there any temperature where Celsius and Kelvin have equal values? If so, show through calculation. If not, describe in mathematical terms why this cannot be. Is there any temperature where Celsius and Fahrenheit are equal? If so, show through calculation. If not, describe in mathematical terms why this cannot be. Is there any temperature where Kelvin and Fahrenheit are equal? If so, show through calculation. If not, describe in mathematical terms why this cannot be.
Find the inverse function of f(x) = x4 + 3, 0 ≤ x < ∞ SOLUTION According to this outline We first write y = x4 + 3. Then we solve this equation for x. x4 = x = 4 Finally, we interchange x and y. y = Therefore the inverse function is f −1(x) =
a. Find the inverse of ƒ(x) = x + 1. Graph ƒ and its inverse together. Add the line y = x to your sketch, drawing it with dashes or dots for contrast. b. Find the inverse of ƒ(x) = x + b (b constant). How is the graph of ƒ -1 related to the graph of ƒ? c. What can you conclude about the inverses of functions whose graphs are lines parallel to the line y = x?
1. Suppose that x and y vary inversely. Write a function that models each inverse variation. Graph the function and find y when x = 10. x = 20 when y = -4 x = -4/15 when y = -105

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22 y = 2x 23 у - 24 y = --x+ 6 2x + 4 **6