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Given the function $\displaystyle {f{{\left({x}\right)}}}={5}{x}-{2}$ , which one of the following is the formula for the inverse function $\displaystyle {f}^{{-{{1}}}}$ ?

$\displaystyle {{f}^{{-{{1}}}}{\left({x}\right)}}=\frac{{1}}{{5}}{x}+\frac{{2}}{{5}}$
$\displaystyle {{f}^{{-{{1}}}}{\left({x}\right)}}=\frac{{1}}{{2}}{x}+\frac{{5}}{{2}}$
$\displaystyle {{f}^{{-{{1}}}}{\left({x}\right)}}=-{5}{x}+{2}$
$\displaystyle {{f}^{{-{{1}}}}{\left({x}\right)}}={5}{x}-{2}$
$\displaystyle {{f}^{{-{{1}}}}{\left({x}\right)}}=\frac{{1}}{{{5}{x}-{2}}}$

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