contestada

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

Respuesta :

mhanifa

Answer:

  • f⁻¹(x) = 1/7x² + 3

Step-by-step explanation:

Given

  • f(x) = [tex]\sqrt{7x-21}[/tex]

To find

  • Inverse of f(x)

Solution

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

  • x = [tex]\sqrt{7y -21}[/tex]
  • x² = 7y - 21
  • 7y = x² + 21
  • y = 1/7x² + 3

y = f⁻¹(x)

  • f⁻¹(x) = 1/7x² + 3

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