Respuesta :

[tex]y= \frac{-3}{x+4} [/tex]

Step 1: Isolating x on one side of the equation.

[tex]y(x+4)=-3 \\ \\ x+4= \frac{-3}{y} \\ \\ x= \frac{-3}{y}-4 [/tex]

Step 2: Replace x by f'(y)

[tex]f'(y)= \frac{-3}{y}-4 [/tex]

Step 3: Replace each occurrence of y by x

[tex]f'(x)= \frac{-3}{x}-4 \\ \\ f'(x)= \frac{-3-4x}{x} [/tex]

Thus, option D gives the correct inverse of the given function

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