Given

f left parenthesis x right parenthesis equals StartFraction $6$ Over x plus $7$ EndFractionf$($x$)=6$x$+7$

and

g left parenthesis x right parenthesis equals StartRoot x plus $3$ EndRootg$($x$)=$x$+3,$

find

left parenthesis g circle f right parenthesis left parenthesis $4$ right parenthesis$($g$$f$)(4).$

Question content area bottom

Part $1$

left parenthesis g circle f right parenthesis left parenthesis $4$ right parenthesis$($g$$f$)(4)$

$=$ enter your response here

$($Type an exact$$ answer, using radicals as needed. Simplify your$$ answer.$)$