Respuesta :

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x-5}{4}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject.

y = 4x + 5 ( subtract 5 from both sides )

y - 5 = 4x ( divide both sides by 4 )

[tex]\frac{y-5}{4}[/tex] = x

Change y back into terms of x

[tex]f^{-1}[/tex](x) = [tex]\frac{x-5}{4}[/tex]

amna04352

Answer:

(x - 5)/4

Step-by-step explanation:

y = 4x + 5

Make x the subject

x = (y - 5)/4

Interswitch x and y

(f^-1)(x) = (x - 5)/4

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