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Helga [31]
3 years ago
9

Consider function f.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer:

  • f⁻¹(x) = 1/7x² + 3

Step-by-step explanation:

<h3>Given</h3>
  • f(x) = \sqrt{7x-21}
<h3>To find </h3>
  • Inverse of f(x)
<h3>Solution</h3>

<u>Change f(x) → x, and x → y, and solve for y:</u>

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

<u>y = f⁻¹(x)</u>

  • f⁻¹(x) = 1/7x² + 3
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