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Find the inverse of the function f (x) = -x - 9 f (x) = x + 9 f (x) = x - 9 f-1 (x) = x/9 -1 -1 -1 f(x) = x - 9 Find the inverse of the function f (x) = ½(x - 5) f (x) = ½(x + 5) f (x) = ½x + 5 f-1 (x) = 2x - 5 f (x) = ½x - 5 -1 -1 -1 f(x) = 2x - 5 Find the INVERSE of the following (-1,3), (8,2), (1,3), (-2,5) (3,-1), (2,8), (3,1), (5,-2) (3,1), (2,8), (3,1), (5,2) (3,1), (2,8), (3,1), (5,2) B. A. Which of the below graphs is the inverse of the given graph. A B C D C D Find the INVERSE of the following (3,-1), (2,8), (3,1), (5,-2) (3,1), (2,8), (3,1), (5,2) (3,1), (2,8), (3,1), (5,2) (-1,3), (8,2), (1,3), (-2,5) Step 2: Interchange y and x Find the inverse of the function Step 1: Replace f(x) with y So, the inverse of the function f(x) is Step 3: Solve for y f (x) = -x - 9 f (x) = x - 9 -1 -1 y= f(x) = x - 9 f (x) = x + 9 f-1 (x) = x/9 = = -1 Step 2: Interchange y and x Step 3: Solve for y Find the inverse of the function Step 1: Replace f(x) with y f (x) = ½(x - 5) f (x) = ½(x + 5) So, the inverse of the function f(x) is -1 -1 y= f(x) = 2x - 5 ( ) f (x) = ½x + 5 f-1 (x) = 2x - 5 = = -1 B. C A. Which of the below graphs is the inverse of the given graph. D A C D B x represents represents the total monthly sales and f (x) represents the total earnings for the month Ahmed sells laptops and makes a base salary of $2200 each month. He also earns 5% commission on his total sales. His total earnings E(x) for a month in which he compiled x dollars in total sales is E(x)=2200+0.05x What do x and f (x) represent in the context of the original function? x represents the total earnings for the month and f (x) represents the total monthly sales. x represents number of months and f (x) represents the total earnings for the month x represents number of laptops and f (x) represents the basic salary. Find the domain of the INVERSE relation Find the Range of the INVERSE relation Find the INVERSE of the following Relation D: {-5,-2,-1,2} The inverse Relation D: {-5,-2,-1,2} D: {-2,-1,1,3} D: {-2,-1,1,3} The original Relation y x x y -5 D: {-4,-2,-1,2} D: {-4,-2,-1,2} D: {-2,-1,2,4} D: {-2,-1,2,4} -2 -1 2 Ahmed sells laptops and makes a base salary of $2200 each month. He also earns 5% commission on his total sales. His total earnings E(x) for a month in which he compiled x dollars in total sales is E(x)=2200+0.05x Find Ahmed's total sales for last month if his earnings for that month were $3450. f-1(x)= Ahmed had $ in total sales for the month. f-1(x)= Find the inverse function f-1(x)= Write the number with no comma. (x+2200) (x-2200) 0.05 (x-2200) 0.5 5 f-1(x)= f-1(x)= f-1(x)= (x+2200) (x+2200) (x-2200) 0.5 0.05 5 Step 2: Interchange y and x Find the inverse of the function Step 1: Replace f(x) with y So, the inverse of the function f(x) is Step 3: Solve for y f (x) = -x - 9 f (x) = x - 9 -1 -1 y= f(x) = x - 9 f (x) = x + 9 f-1 (x) = x/9 = = -1 Step 2: Interchange y and x Find the inverse of the function Step 1: Replace f(x) with y Step 3: Solve for y So, the inverse of the function f(x) is f (x) = ½(x - 5) f (x) = ½(x + 5) -1 -1 y= ( ) f(x) = 2x - 5 f (x) = ½x + 5 f-1 (x) = 2x - 5 = = -1 Hamad is making candles. He has already made 38 candles, and he makes 24 candles each day. The function C(x) = 24x + 38 represents the total number of candles C(x) he has in inventory, where x is the number of days since he began making more candles. x represents the total number of candles and C-1(x) is the number of days since he began making more candles. What do x and C-1(x) represent in the context of the inverse function? x is the number of days since he began making more candles and C-1(x) represents the total number of candles x represents the number of days since he began making more candles and C-1(x) represents the number of candles he already has. x represents the number of candles he already has and C-1(x) is the number of days since he began making more candles. Hamad is making candles. He has already made 38 candles, and he makes 24 candles each day. The function C(x) = 24x + 38 represents the total number of candles C(x) he has in inventory, where x is the number of days since he began making more candles. Select the inverse of the function C (x). A. A B. B C D. C. D Find the inverse of the function f (x) = ½(x - 5) f (x) = ½(x + 5) f (x) = ½x + 5 f-1 (x) = 2x - 5 f (x) = ½x - 5 -1 -1 -1 f(x) = 2x - 10 Step 2: Interchange y and x Find the inverse of the function Step 1: Replace f(x) with y Step 3: Solve for y So, the inverse of the function f(x) is f (x) = ½(x - 5) f (x) = ½(x + 5) -1 -1 y= ( ) f(x) = 2x - 10 f (x) = ½x + 5 f-1 (x) = 2x - 5 = = -1 x represents represents the total monthly sales and f -1(x) represents the total earnings for the month Ahmed sells laptops and makes a base salary of $2200 each month. He also earns 5% commission on his total sales. His total earnings E(x) for a month in which he compiled x dollars in total sales is E(x)=2200+0.05x What do x and f -1(x) represent in the context of the inverse function? x represents the total earnings for the month and f -1(x) represents the total monthly sales. x represents number of months and f -1(x) represents the total earnings for the month x represents number of laptops and f -1(x) represents the basic salary. A) Complete the table Given f(x) = 2x - 5. x f(x) -1 0 1 2 Find the inverse function f -1 = 0.5x + 2.5 f -1 = 0.5x - 2.5 f -1 = x + 2.5 f -1 = x + 5 f -1 = x - 5 Find the below values f-1 (-7)= f-1 (-5)= f-1 (-3)= f-1 (0)= |