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Part $1$

Determine whether f and g are inverse functions by evaluating

left parenthesis f circle g right parenthesis left parenthesis x right parenthesis$($f$$g$)($x$)$

and

left parenthesis g circle f right parenthesis left parenthesis x right parenthesis$($g$$f$)($x$).$

f left parenthesis x right parenthesis equals three sevenths x minus $4$f$($x$)=37$x$4$

and

g left parenthesis x right parenthesis equals StartFraction $7$ x plus $28$ Over $3$ EndFractiong$($x$)=7$x$+283$

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Part $1$

What is

left parenthesis f circle g right parenthesis left parenthesis x right parenthesis$($f$$g$)($x$)?$

left parenthesis f circle g right parenthesis left parenthesis x right parenthesis$($f$$g$)($x$)$

$=$

enter your response here$$

$($Use integers or fractions for any numbers in the$$ expression.$)$