austinr2132 austinr2132
  • 24-09-2021
  • Mathematics
contestada

If f(x) and f-1(x) are inverse functions of each other and F(x) = 2x + 5, what is f-1 (8)?


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altavistard
altavistard altavistard
  • 24-09-2021

Answer:

3/2

Step-by-step explanation:

Find the inverse function of f(x) = 2x + 5:

1.  Replace "f(x)" with "y:"  y = 2x + 5

2. Interchange x and y:  x = 2y + 5

3. Solve for y:  2y = x - 5, or y = (x - 5)/2

Then f^(-1)(8) = (8 - 5)/2, or 3/2

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