The inverse of function f(x) = x3 + 2 is ____________a.f -1 = (y – 2) 1/2b.f -1 = (y – 2) 1/3c.f -1 = 1/3d.f -1 = (y – 2)

Question

The inverse of function f(x) = x3 + 2 is ____________a.f -1 = (y – 2) 1/2b.f -1 = (y – 2) 1/3c.f -1 = 1/3d.f -1 = (y – 2)
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Solution 1

The inverse of a function is found by switching the x and y values. This means we set y = x^3 + 2 and solve for x. Here are the steps:

  1. Set y = x^3 + 2
  2. Subtract 2 from both sides to isolate the cubic term: y - 2 = x^3
  3. Take the cube root of both sides to solve for x: x = (y - 2)^(1/3)

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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