Question

If f(2)= Vwhat is the rule of the inverse?

Answer 1

`f(x)=\sqrt[]{(x+4)/(3)}`

To find the inverse do these steps

1- Put f(x) = y

2- Switch x and y

3- solve to find the new y

Let us do that

`y=\sqrt[]{(x+4)/(3)}`

Switch x and y

`x=\sqrt[]{(y+4)/(3)}`

Now square the two sides to cancel the root

`x^2=(y+4)/(3)`

Multiply both sides by 3 to cancel the denominator

`3x^2=y+4`

Subtract 4 from both sides

`3x^2-4=y`

The rule is the answer D