Question

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

Answer 1

We are asked in the problem to determine the inverse of the relation y = 3x + 12. first step is to express the equation in terms of y, that is y -12 = 3x, then exchange the places of x and y, that is x - 12 = 3y. This is the final answer

Answer 2

Answer:

Given the relation:

$y=3x+12$

Step 1.

Interchange the variable x and y.

⇒$x= 3y+12$

Step 2.

Solve for y:

Subtract 12 from both sides we have;

$x-12= 3y$

Divide both sides by 3 we have;

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

or

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

therefore, the inverse function of the given relation is $y = \frac{x-12}{3}$