find the inverse

Question

find the inverse of y= f(t) = √(3t)+ 2 

Answer 1

Hi Dalia,

 

To find the inverse of the function the first step is to solve for t.  To do this, get t by itself.

 

We get √(3t) = y - 2.

 

Squaring both sides, we get 3t = y² - 4y + 4.

 

Dividing both sides by 3, we get t = (y² - 4y + 4)/3

 

Finally, we need to switch the t and y to get the inverse of the function.

 

So, the inverse is y = (t² - 4t + 4)/3.