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if f(x)=xsquared-4x+4 for x> or +2. What is the formula for f to the -1(x). What is the domain?
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\[f(x)=x ^{2}-4x+4 \] for X>or = to 2 and you are looking for \[f^{-1}(x)\]
you could start by factoring \[f(x)=(x-2)(x-2)\]
then putting entire equation as 1/f(x) \[1/(x-2)(x-2)\]
since \[f(x)\neq 1/0\] you can infer that X not equal 2....and since the original domain of F(x) is x> or = to 2 all you need to do is drop the equal part since that is no longer possible so the domain is x>2
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