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  • 07-09-2020
  • Mathematics
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find inverse of y=1/2x+3

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  • 07-09-2020

Answer:  f⁻¹(x)=2x-6

Step-by-step explanation:

To find the inverse of an equation, you replace y with x and x with y. Then, you solve for y.

y=1/2x+3          [replace y with x and x with y]

x=1/2y+3          [subtract both sides by 3]

x-3=1/2y           [multiply both sides by 2]

y=2(x-3)            [distribute]

y=2x-6

Now, we know the inverse function is f⁻¹(x)=2x-6.

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