A formula for a function

yequals$$f$($x$)$

is

$$f$($x$)$equals$3$ x cubed plus $6.$

Find

f Superscript negative $1$ Baseline left parenthesis x right parenthesis

and identify the domain and range of

f Superscript negative $1$ Baseline left parenthesis x right parenthesis.

To check the$$ answer, determine whether

f left parenthesis f Superscript negative $1$ Baseline left parenthesis x right parenthesis right parenthesis equals f Superscript negative $1$ Baseline left parenthesis f left parenthesis x right parenthesis right parenthesis equals x$.$