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2.9.19 If a function f has an inverse and f(-3) = 2, then what is f-1(2)?...
(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)...
18 of 28 (12 complete) 2.37 Consider the functions f(x) = 2x - 6 and g(x) = 5 +3. (a) Find f(g(x)) (b) Find g(f(x)), (c) Determine whether the functions fand g are inverses of each other. (a) What is f(g(x))? f(g(x)) = (Simplify your answer.)
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 =...
(c) Find a formula for the inverse of the function. 4x-1 ) f(x) _[3 marks] 2x+3 (ii) f(x) = /10 - 3x [2 marks) 1+1 (111) g(x) = 1-e* [3 marks] Total: 25 marks!
Evaluate the following f(x)=x2-1 and g(x) = 3x +5. :a. f(-3) b. g(-2) c. f(0) d. g(5) 2. Find the x and y intercepts of the following functions: a) f(x) = x2 - 5x + 6 = 0b) h(x) = -2x + 20
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
7x + 4 3x - 4 Consider the functions f(x) = and g(x) = x+3 7-X (a) Find f(g(x)) (b) Find g(f(x)) (C) Determine whether the functions f and g are inverses of each other. ary (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) Give any values of that need to be excluded from f(g(x)). Select the correct choice below and fill in any a ols > ОА. XF (Use a comma to separate answers as needed.) O B....
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)) =...
f(x+h)-f(x) a) Find the difference quotient- -> (assume h + 0) for f(x) = x2 + 3x + 4 b) Find the inverse algebraically of g(x) = 2x-3
Question 7
7. For each pair of functions fand g below, find (x)) and g (fx). Then, determine whether fand 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) (x) 2x x1 (b) f(x) =T g (x)=2x + 1 f(g (x)) = f(g (x)) = fand g are inverses of each other...