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Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.
Find f(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. f(x) = 9x +3 and g(x)= a. f(g(x)) = b. gcf(x) = (Simplify your answer.) (Simplify your answer.) o f and g are inverses of each other. fand g are not inverses of each other. O
For each pair of functions f and g below, find f(g(x)) and g(x)). Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = -,x0 (b) f(x) = x + 4 $(x) = -,x+0 x 5 ? g(x) = -x + 4 $($(x)) = 0 (g(x)) =...
O GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of functions f and g below, find f(g(x)) and g(x)). Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) X x - 3 = (b) f(x) 6 2 g(x) = 6x =...
7. Determine if the two functions f and g are inverses of each other algebraically. If not, why not? X-1 X + 3 f(x) = g(x) = X-3 X + 1 0 Yes 1 No, o g)(x) = X 1 No. (fog)(x) = X
(x)). For each pair of functions f and g below, find f(g(x)) and g Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = x + 4 (b) f(x) = - -, 0 3x x 5 ? g(x) = x - 4 f(g(x)) = 0 8(x)...
Determine whether the two functions are inverses. f(x) = , and g(x) = 4* © Yes No
Use the definition of inverses to determine whether fand g are inverses. 1 f(x) = -5x + 9, g(x)= x-9 Are the given functions inverses? Ο Νο Yes
Use the composition of functions to determine if f(x) and g(x) are inverses of one another. 12. f(x) = 7x - 1 ; g(x) = x - 1
Decide whether or not the functions are inverses of each other.Use the definition of inverses to determine whether f and g are inverses. 44) f(x) = 1+X g(x) = 1 X-1 X A) No B) Yes
For the pair of functions f and g, determine the domain offlg f(x) = x 9(x)=-5 What is the domain? Select the correct choice below and fill in any answer boxes within your choice. O A. {XIX is a real number and ] (Type an inequality. Uselintegers or fractions for any numbers in the expression. Use a comma to separate answers as neede O B. {xx is a real number)