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Help me please *12. g(x) = 13x - 13 h(x)= x-1 Determine whether each pair of...
help me with 4&5 please ! in dept 4. Given f(x) = 4x–3 and g(x)=*#3, determine if the functions are inverses of each other by showing (fºg)(x)=(8°f)(x) = x.(6 points) I 5. Assume that f(x)=9x² - 5 is one-to-one for the set of x 20 (This means it has an inverse for those values of x). Find f '(x).
Find the indicated composite for the pair of functions, then determine if g is the inverse of f. Given and , find a (f o g)(x) = 15x + 10, yes g is the inverse of f. b (f o g)(x) = 15x + 14, yes g is the inverse of f. c (f o g)(x) = 15x + 8, no g is not the inverse of f. d (f o g)(x) = 15x + 54, no g is not...
Question 1 The functions f(x) g(x) and h(x) are defined as follows: f(x) = e* XER g(x) = x x 20 h(x) = 2x + 1 XER [3 marks] Find fg(x) and state its domain and range Find hf (x) and state its domain and range Find hº(x) and state its domain and range __[3 marks] (1111) [3 marks] WA (b) The figure below shows the graph of y=-x-shifted to four new positions. Write an equation for each new graph....
please answer 10, 11, 12, 13 10. -/4 points v SPRECALC7 2.8.025.MI. Assume that fis a one-to-one function. (a) If f(9) = 6, find F-1(6). (b) if (2) = -7, find f(-7). 11.-/5 points ~ SPRECALC7 2.8.028.MI. If g(x) = x2 + 6x with x 2-3, find g-|(27). 12. 0/5 points | Previous Answers SPRECALC7 2.8.049. Find the inverse function of f. f(x) = 2x + 8 2(x+4) Need Help? Read it Watch It Talk to a Tutor 13. -/5...
please help -- thank you 1. Determine, algebraically, whether the function f(x) = 3x + 8 and g(x) = *** are inverse
3. Determine algebraically whether each of the following functions is one-to-one. Show your work! (a) f(x) = 4x2 4x (b) g(x) 3x + 2 2x – 1
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)) =...
show work n answers only please 1. Is the point (1,0) on the graph of -1=y? Explain. 2. Find the equation of the line parallel to 3y - 2x = 1 passing through the point (1,2). 3. Evaluate the difference quotient for the function $(x) = x2 - 4x +1 4. If h(x) -1ja? - 21, find functions f(x).9() so that (fog)(x) -() where neither f(x) nor g(x) is equal to h(x). Is (1) even, odd, or neither? 5. For...
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...