What is the inverse of the given relation? y=3x+12
answer: x = x/3 - 4
is it right?
1. y=3x+12 --- Original Function
2. x=3x+12 --- Switch x and y
3. 3y=x-12 ---subtract from both sides and simplify
4. divide by 3 to simplify further
5. y=(x-12)/3 ---This is your answer.
Hope this helps!
for f(x) = 3x + 12
given any x, the first thing you do is multiply by 3, then add 12
for f^-1 (x), you just do the inverse operations, in reverse order
so given any x, the first thing you do is subtract 12, then divide by 3, so
f^-1(x) = (x - 12)/3
you had x/3 - 4 which when added gives (x-12)/3
so you are right, except don't call it x = x/3 - 4 , the left side is not x
No, that is not correct. To find the inverse of a relation, we need to interchange the roles of x and y and solve for y.
Starting with the relation y = 3x + 12, we need to solve for x:
x = (y - 12) / 3
So, the correct inverse relation is x = (y - 12) / 3.
To find the inverse of a relation, you need to switch the roles of x and y and solve for y. Let's go through the steps to find the inverse of the given relation.
The original relation is y = 3x + 12.
Step 1: Switch the roles of x and y.
x = 3y + 12.
Step 2: Solve the equation for y.
Subtract 12 from both sides:
x - 12 = 3y.
Step 3: Divide both sides by 3 to isolate y.
(x - 12) / 3 = y.
So, the inverse of the given relation is y = (x - 12) / 3.
Thus, the answer x = x/3 - 4 is not correct. The correct answer is y = (x - 12) / 3.