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Find the inverse of the function: f ( x ) = 1 5 x + 4 Group of answer choices f − 1 ( x ) = 4 x − 5 f − 1 ( x ) = − 5 x − 4 f − 1 ( x ) = x − 4

Respuesta :

xKelvin

Answer:

D

Step-by-step explanation:

So we have the function:

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

To find the inverse, simply switch x and f(x), change f(x) to f⁻¹(x), and solve for it. Thus:

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

Subtract 4 from both sides:

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

Multiply both sides by 5:

[tex]f^{-1}(x)=5x-20[/tex]

So that's our inverse :)

So, our answer is D

Answer:

D

Step-by-step explanation:

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