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find the inverse of the given function

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2 Answers

To find the inverse of a function, switch the places where x and y appear, and then solve the new equation for y.
  • Original Equation:
    • f(x)=7x-4/5 OR y=7x-4/5
  • Step 1: Switch x and y
    • x=7y-4/5
  • Step 2: Solve for y
    • x+4/5=7y
    • x/7+4/35=y
Answer: f-1(x) = x/7 + 4/35