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What is the inverse of the given relation?

 

y = 3x + 12

 Apr 11, 2019
 #1
avatar+26007 
+1

y=3x+12    Solve for 'x'

(y-12)/3 = x       then switch the 'x' and 'y's

(x-12)/3 = y

 

or    y = 1/3 x -4

 Apr 11, 2019
 #2
avatar+65 
+2

Flip the x and the y, so it becomes \(x=3y+12\)

Then just solve for y

\(x-12=3y+12-12\)

\(\frac{x-12}{3}=\frac{3y}{3}\)

\(\frac{x}3-4=y\)

So the inverse is \(\frac{x}3-4=y\)

 Apr 11, 2019

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