SOLUTION: find the inverse of f(t)=sqrt(4t)+6

Question 1068261: find the inverse of f(t)=sqrt(4t)+6
Answer by Lightning_Fast(78) (Show Source): You can put this solution on YOUR website!
It would help using the built in formula graphics on this website:

Step 1: Replace the x and y

Step 2: Do algebra (subtract 6)

Step 2: Do algebra (square both sides)

Step 2: Do algebra (divide by 4 both sides)

Step 3: Clean up your function

Original Function:
Inverse Function:
We are not done yet. This new inverse function requires a domain restriction, as seen on the graph below.

.
The domain restriction is such that is greater than or equal to (We can tell easily just by looking at the equation of the function)
Thus, the inverse of is
l {x is greater than or equal to 6}
(Note: The bar in between the function and the domain restriction means such that.)
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