find inverse of y=1/2x+3

Mathematics · College · Tue Nov 03 2020

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Given the function: y = ½x + 3

In order to find the inverse of the function, substitute the value of x with y and solve for y

Solution:

y = ½x + 3

x = ½y + 3

x - 3 = ½y

y =2(x-3)

y =2x - 6

Check:

y = ½(2x-6) + 3

y = x - 3 + 3

y = x

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