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Find an equation for the inverse for each of the following.

Find an equation for the inverse for each of the following.-example-1
User Mkhelif
by
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1 Answer

7 votes

Answer:

  • To solve these first swap x and y, solve for y and name it inverse function

3. y = -8x + 2

  • x = -8y + 2
  • 8y = -x + 2
  • y = -x/8 + 2/8
  • y = -(18)x + 1/4

f⁻¹(x) = -(18)x + 1/4

-----------------------------------------

4. y = (2/3)x - 5

  • x = (2/3)y - 5
  • (2/3)y = x + 5
  • y = (3/2)x + (3/2)5
  • y = 1.5x + 7.5

f⁻¹(x) = 1.5x + 7.5

-----------------------------------------

5. f(x) = 2x² - 6

  • x = 2y² - 6
  • 2y² = x + 6
  • y² = 1/2x + 3
  • y =
    √(1/2x + 3)

f⁻¹(x) =
√(1/2x + 3)

-----------------------------------------

6. y = (x - 3)²

  • x = (y - 3)²

  • √(x) = y - 3
  • y = 3 +
    √(x)

f⁻¹(x) = 3 +
√(x)

User Emanuela Colta
by
8.6k points

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