Question

Inverse function of k(x)= -6x+22 and graph both functions

Answer 1

Inverse of -6x+22 is

`\boxed{-(x-22)/(6)}`

Graphs attached

Explanation:

Original function y = k(x) = -6x + 22

To find the inverse of this function

Replace x with y
x = -6y + 22

Solve for x

• Switch sides
  -6y + 22 = x
  
• Subtract 22 from both sides
  -6y + 22 - 22 = x - 22
  
• Simplify
  -6y = x - 22
  
• Divide by - 6 on both sides
  
  `(-6y)/(-6)=(x-22)/(-6)`
  
• Simplify
  
  `y=-(x-22)/(6)`
  
  Note: Graphically, the inverse of a function is a reflection of the function about the line y = x