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24 votes
Part 2. Algebraically find the inverse of the function

1. f(x) = -3(x - 4)^2 - 6

2. y = sqrt (x - 4)^2 + 3

3. y = 4 cube root (x)​

User Carlo Corradini
by
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2 Answers

6 votes
6 votes

Answer:

1. f⁻¹(x) = ±²√(-⅓(x + 6)) + 4

2. y = ²√(x–3) + 4

3. y = (x/4)³

User John Bentley
by
3.0k points
5 votes
5 votes

9514 1404 393

Answer:

  1. f⁻¹(x) = 4 ±(1/3)√(-3x-18)
  2. y = (x -3)² +4
  3. y = x³/64

Explanation:

To find the inverse function, solve for y the equation ...

x = f(y)

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User RobertB
by
2.9k points