This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
Here are the inverse functions for each part. To find the inverse function F^-1(x): 1. Replace F(x) with y. 2. Swap x and y. 3. Solve the new equation for y. 4. Replace y with F^-1(x). a) F(x) = x+2 Step 1: Replace F(x) with y. y = x+2 Step 2: Swap x and y. x = y+2 Step 3: Solve for y. y = x-2 Step 4: Replace y with F^-1(x). F^-1(x) = x-2 The inverse function is F^-1(x) = x-2. b) F(x) = x-7 Step 1: Replace F(x) with y. y = x-7 Step 2: Swap x and y. x = y-7 Step 3: Solve for y. y = x+7 Step 4: Replace y with F^-1(x). F^-1(x) = x+7 The inverse function is F^-1(x) = x+7. c) F(x) = 22+x Step 1: Replace F(x) with y. y = 22+x Step 2: Swap x and y. x = 22+y Step 3: Solve for y. y = x-22 Step 4: Replace y with F^-1(x). F^-1(x) = x-22 The inverse function is F^-1(x) = x-22. e) F(x) = 3x Step 1: Replace F(x) with y. y = 3x Step 2: Swap x and y. x = 3y Step 3: Solve for y. y = (x)/(3) Step 4: Replace y with F^-1(x). F^-1(x) = (x)/(3) The inverse function is F^-1(x) = (x)/(3). f) F(x) = 8x Step 1: Replace F(x) with y. y = 8x Step 2: Swap x and y. x = 8y Step 3: Solve for y. y = (x)/(8) Step 4: Replace y with F^-1(x). F^-1(x) = (x)/(8) The inverse function is F^-1(x) = (x)/(8). g) F(x) = (x)/(4) Step 1: Replace F(x) with y. y = (x)/(4) Step 2: Swap x and y. x = (y)/(4) Step 3: Solve for y. y = 4x Step 4: Replace y with F^-1(x). F^-1(x) = 4x The inverse function is F^-1(x) = 4x. 3 done, 2 left today. You're making progress.