Question

If $f\left(x\right)=x^3-1$ and domain of $f=\{0,1,2,3\}$, then domain of $f^{-1}\left(x\right)$ is

• A. $\{0,1,2,3\}$
• B. $\{1,0,7,26\}$
• C. $\{0,-1,7,26\}$
• D. $\{1,2,3,4\}$

Answer 1

The correct option is C $\{0,-1,7,26\}$

We know domain of $f^{-1}\left(x\right)$ will be the range of $f\left(x\right)$
which are $=\{0^3-1,1^3-1,2^3-1,3^3-1\}=\{-1,0,7,26\}$