81–84 - Finding Inverse Functions A one-to-one function isgiven. (a) Find the inverse of the function. (b) Graph both thefunction and its inverse on the same screen to verify that thegraphs are reflections of each other in the line y = x.81. f(x) = 2 + x82. f(x) = 2 – r83. g(x) = Vx + 384. g(x) = x + 1, x20

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Answered: 81–84 - Finding Inverse Functions A…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.8: one-to-one Functions And Their Inverses

Problem 81E

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Similar questions

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. Given the function f(x) = 2(x + 5)2– 8 a. Draw the graph of the function, f(x) and its inverse. b. State of the domain and range of the inverse. c. Determine the equation of the inverse. d. Place a possible restriction on the domain of f(x) such that the inverse will be a function. On your graph of the inverse, highlight the result of this restriction using a highlighter or some colour. That is, highlight what part of the inverse will remain as a result of the restriction.
for g(x) =2x-1 the graph of the function on graph paper. Confirm that the function is one-to-one and then find the inverse of the function. Identify the domain and range of the inverse function. Sketch the graph of the inverse function on the same coordinate grid that was used for the original function. Is the graph of the inverse function increasing or decreasing over the same intervals where the original function was increasing or decreasing? Why or why not?
A) Draw the graph of a one-to-one function that contains the points (-2,-2), (0, 4), and (1, 7).Now draw the graph of its inverse. Compare your graph to those of other members of your group. Discuss any similarities. B) Given two functions f(x)=3x+4 and g(x)=1/3 (x-4), find f(g(x)) and g(f(x)) C) Are the functions f(x)=3x+4 and g(x)=1/3 (x-4) inverses of each of other? Justify your answer. D) Draw the graphs of the functions f(x)=3x+4, g(x)=1/3 (x-4), and y=x on the same set of cordinate axes. How would you describe the relationship between those graphs? I just need help with part D please
A) Draw the graph of a one-to-one function that contains the points (-2,-2), (0, 4), and (1, 7).Now draw the graph of its inverse. Compare your graph to those of other members of your group. Discuss any similarities. B) Given two functions f(x)=3x+4 and g(x)=1/3 (x-4), find f(g(x)) and g(f(x)) C) Are the functions f(x)=3x+4 and g(x)=1/3 (x-4) inverses of each of other? Justify your answer. D) Draw the graphs of the functions f(x)=3x+4, g(x)=1/3 (x-4), and y=x on the same set of cordinate axes. How would you describe the relationship between those graphs?
(a) Graph the one-to-one function f (x) =x 2, x >= 0, together with its inverse and the line y = x, x >= 0. (b) Express the inverse of f as a function of x.

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