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Inverse function question!???

Inverse function question!???-example-1
User Mdeous
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1 Answer

2 votes

Answer:

D)
f^(-1)(x)=(x-3)^2+2

Explanation:


f(x)=√(x-2)+3 \implies x=\sqrt{f^(-1)(x)-2}+3 \\ \\ x-3=\sqrt{f^(-1)(x)-2} \\ \\ (x-3)^2=f^(-1)(x)-2 \\ \\ f^(-1)(x)=(x-3)^2+2

Note we take the positive case because the domain of the original function is the same as the range of the inverse, and the domain of
f(x) is
[2, \infty).

User Henrik Hartz
by
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