Which of the following function is invertible
$f(x) = {2^x}$
$f(x) = {x^3} - x$
$f(x) = {x^2}$
None of these
(a) A function is invertible if it is one-one and onto.
Let $S=\{a, b, c\}$ and $T=\{1,2,3\} .$ Find $F^{-1}$ of the following functions $F$ from $S$ to $T$. if it exists. $F =\{( a , 2)\,,(b , 1),\,( c , 1)\}$
If $f(x) = {x^2} + 1$, then ${f^{ – 1}}(17)$ and ${f^{ – 1}}( – 3)$ will be
Let $f : R \rightarrow R\ f(x) = x^3 -3x^2 + 3x\ -2$ , then $f^{-1}(x)$ is given by
If $f:IR \to IR$ is defined by $f(x) = 3x – 4$, then ${f^{ – 1}}:IR \to IR$ is
State with reason whether following functions have inverse $h:\{2,3,4,5\} \rightarrow\{7,9,11,13\}$ with $h=\{(2,7),(3,9),(4,11),(5,13)\}$
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