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Ahat [919]
3 years ago
10

Please help. I’ll mark you as brainliest if correct!

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer:

\boxed{\sf \ \ \ f^{-1}(x)=1+\sqrt{x} \ \ \ }

Step-by-step explanation:

the minimum of f is for x = 1 and f(1)=0

f is decreasing for x<=1 and increasing for x>=1

so the domain is [1;+\infty[

f^{-1}(f(x))=x =f^{-1}((x-1)^2)\\\\f(f^{-1}(x))=x=(f^{-1}(x)-1)^2

x>=1 so x is positive and we can take the square root

so f^{-1}(x)=1+\sqrt{x}

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