Question

If f(x) = (1 - 3)2 for 2 > 3, then f-1(x) = ?

Answer 1

We have the following function given:

`f(x)=\text{ (x}-3)^2,\text{ x}\ge3`

And we want to find the inverse function. For this case we can do the following procedure:

First we change the x and y values in the function on this way:

`x=\text{ (y}-3)^2`

And now we just need to solve for x . We begin taking square root in both sides of the equation:

`\pm√(x)\text{ = }√((y-3)^2)`

And simplifying we got:

`\pm√(x)=\text{ y}-3`

And finally solving for y we got:

`y=f^(-1)(x)=√(x)+3`

And the best option for this case would be the last one.