Let f(x)=x^2 -81. Find f^1(x)

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ayeitscharis ayeitscharis

01-09-2016
Mathematics

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Let f(x)=x^2 -81. Find f^1(x)

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caylus caylus · Answer 1 · 2016-09-01T09:39:09+02:00

caylus caylus

01-09-2016

Hello,

I suppose you mean -1! else f(x)=f^1(x)

y=x²-81
-> x=y²-81 (exchahge x and y)
->y²=x+81 (solve for y)
[tex]y= \sqrt{x+81} \ or \ y=- \sqrt{x+81} [/tex] It is because (f^-1)(x) is not a function!

with x>=-81

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