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

If f(x) = (1 - 3)2 for 2 > 3, then f-1(x) = ?-example-1
User Sheff
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1 Answer

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23 votes

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.

User Susheel
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