If-f-x-x-3-1-then-f-1-x-

Question Number 38367 by Zuarkton last updated on 24/Jun/18

I f f (x) = x^{3} + 1 t h e n f^{- 1} (x) = ?

Commented by rahul 19 last updated on 24/Jun/18

{(x - 1)}^{\frac{1}{3}}

Commented by Zuarkton last updated on 24/Jun/18

S o l u t i o n ?

Answered by MrW3 last updated on 24/Jun/18

y = f (x) = x^{3} + 1

\Rightarrow x =^{3} \sqrt{y - 1}

\Rightarrow f^{- 1} (x) =^{3} \sqrt{x - 1}

Answered by Rio Mike last updated on 25/Jun/18

l e t y = x^{3} + 1

x^{3} = y - 1

x = {(y - 1)}^{1 / 3}

r e p l a c i n g x b y f^{- 1} (x) a n d y b y x

\Rightarrow f^{- 1} (x) = {(x - 1)}^{1 / 3}

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