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!
What is the inverse of the given relation? y=3x+12
answer: x = x/3 - 4
is it right?
2 answers
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
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