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2 votes
Consider function f.

f(x) = square root of 7x – 21
Place the steps for finding f-1(x) in the correct order.

1 Answer

4 votes

Answer:

  • f⁻¹(x) = 1/7x² + 3

Explanation:

Given

  • f(x) =
    √(7x-21)

To find

  • Inverse of f(x)

Solution

Change f(x) → x, and x → y, and solve for y:

  • x =
    √(7y -21)
  • x² = 7y - 21
  • 7y = x² + 21
  • y = 1/7x² + 3

y = f⁻¹(x)

  • f⁻¹(x) = 1/7x² + 3
User Shoma
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