2. Using your knowledge of inverses, prepare a table of values for the inverse of the function in problem #1. Use the table you filled out above to help! Graph the inverse on the same coordinate system as the function above. Label each graph appropriately as f(x) or f'(x). Answer the following for the inverse function: The equation of the inverse is f'(x) = х y Domain Range coordinates of the x-intercept equation of the asymptote You must show all...
need an explanation please Find a formula for the inverse function f-1(x). Show all work to receive credit. Express your answer in functional format. (2 points) f-?(x) = -
2) (12) f:R-(3/2)-R-10, (x) 1/(3 2x) g:R--21->R-1o), g (x)1/ (x 2) h:R-(-4/3]-R-(1/3), h(x) (f o g) (x) Verify if h(x) is one to one and onto. If it is, find the inverse function of h(x). 2) (12) f:R-(3/2)-R-10, (x) 1/(3 2x) g:R--21->R-1o), g (x)1/ (x 2) h:R-(-4/3]-R-(1/3), h(x) (f o g) (x) Verify if h(x) is one to one and onto. If it is, find the inverse function of h(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)...
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)) =...
(5 pts) Let f(x)=-3x? +5x+2. Evaluate and fully simplify the difference quotient f(x+h)-f(x) h You must show all work to receive credit.
1. Calculate g(b) and g′(b) where g(x)g(x) is the inverse of f(x)=3x+11. g′(x) = 2. Calculate g(b) and g′(b) where g(x) is the inverse of f(x)=3/(x+4), where b=3/10. g(b)= g'(b)= 3. Calculate g(b) and g′(b) where g(x) is the inverse of f(x)=3x+11. g′(x) = help please
2.9.19 If a function f has an inverse and f(-3) = 2, then what is f-1(2)? 7+(2)=0 2.9.33 2x+8 3x - 8 Consider the functions f(x) = 7and g(x)=3-. (a) Find f(g(x)). (b) Find g(f(x)) (c) Determine whether the functions f and g are inverses of each other (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) % 2.9.27 For F(x)=x2-5, find each of the following a. f(0) b.-1(-5) c. (fof-1/(507) a. f(0) = -5 b.t-1(-5)=0
any ideas? 1. Spts) Let /(x)=x2-5x+2. Evaluate and fully (x+h)-(x) simplify the difference quotient #1: . You must show all work to receive credit #2: 2. (5 pts) Let S(x)=x? -5x and g(x) = 3x -2. Find the composite function f(g(x)). y 1x x=0 3. (6 pts) Graph the function S(x)= 7+1 X20 Use open and closed circles where necessary. Label at least two points on each piece with their coordinates. Show your work. USE THE VALUES FOR X, X...
Q4 (4 points) (a) (1.5p) Find f +g-h, fog, fog•h if f(x) = (x - 3, g(x) = x^, and h(x) = x* + 2 (b) 0(1p) Find the inverse of the function f(x) = 4x - 1 2x + 3 () (0.5p) Find f(-)) (c) Simplify: 0 (1p) In(a) + { ln(b) + Inc mais)