Respuesta :

Answer:

[tex]g^{-1}[/tex] (x) = [tex]\frac{x+11}{4}[/tex]

Step-by-step explanation:

let y = g(x) and rearrange making x the subject, that is

y = 4x - 11 ( add 11 to both sides )

y + 11 = 4x ( divide both sides by 4 )

[tex]\frac{y+11}{4}[/tex] = x

Change y back into terms of x , with x = [tex]g^{-1}[/tex] (x) , thus

[tex]g^{-1}[/tex](x) = [tex]\frac{x+11}{4}[/tex]

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