What is the inverse of the given relation y=3x+12


Asked by maham237 @ in Mathematics viewed by 340 People

Answered by maham237 @



For this case we have the following function:


y = 3x + 12

We change the variables:


x = 3y + 12

From here, we clear the value of y.

3y = x-12\\y = \frac {x} {3} -4

Then, we make the following change:

y = f (x) ^ {-1}

Finally, the inverse function is:

f (x) ^ {- 1} = \frac {x} {3} -4

Answer:

The inverse of the given relation is:

f (x) ^ {- 1} = \frac {x} {3} -4


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