Question

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

Answer 1

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:

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

Answer 2

We have to find the inverse of the relation : y = 3 x + 12First we have to switch x and y:x =  3 y + 12- 3 y = - x + 12  / * ( - 1 )     ( multiply both sides by - 1 )
3 y = x - 12   / : 3                 ( divide both sides by 3 )y = x / 3 - 4Answer:The inverse of the given relation is  y = x / 3 - 4.