Find the inverse of the following function:
f(x) = 3x + 12
I don't think I worked this problem off correctly...I am suppose to find the inverse of the function
Is this the correct way to work this problem?
y= 3x + 12
x= 3y + 12
3y = x - 12
f-1(x) = x - 12/3
You would divide everything by 3 leaving you with f-1(x)= x/3 - 4
see the correct and easy way is like this :
y=3x +12
now get x in terms of y
3x =y-12
or x= (y-12)/3
now replace x with y and vice versa
so you will get :
y= (x-12)/3
or f-1(x)= x/3 - 4
this should be the answer
To find the inverse of a function, you need to switch the roles of x and y and solve for y.
Let's start from the equation:
y = 3x + 12
Switch the x and y variables:
x = 3y + 12
Now solve for y:
Subtract 12 from both sides:
x - 12 = 3y
Divide both sides by 3:
(x - 12) / 3 = y
Therefore, the inverse function is:
f^-1(x) = (x - 12) / 3