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The function is given .
[tex]f(x)=5x+8[/tex]To determine the inverse of the function , we have to swap or reverse the variables x and y.
[tex]y=5x+8[/tex]After reversing the composition.
[tex]y-8=5x[/tex][tex]x=\frac{y-8}{5}[/tex]Thus the inverse of the function is,
[tex]F^{-1}(x)=\frac{y-8}{5}^{}^{}[/tex]