jessicajustice8758 jessicajustice8758
  • 21-09-2020
  • Mathematics
contestada

Given f(x) = the quantity of 3x minus 1, divided by 2, solve for f−1(4)

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abidemiokin
abidemiokin abidemiokin
  • 22-09-2020

Answer:

Step-by-step explanation:

Given f(x) = (3x-1)/2

To get f^-1(4), we need to get the inverse of the function first.

Let y = (3x-1)/2

Replace y with x

x = (3y-1)/2

Make y the subject of the formula

2x = 3y-1

3y = 2x+1

y = (2x+1)/3

f^-1(x) = (2x+1)/3

Substitute x = 4 into the resulting expression

f^-1(4) = (2(4)+1)/3

f^-1(4) = (8+1)/3

f^-1(4) = 9/3

f^-1(4) = 3

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