contestada

If f(x) = 3x - 4, which of these is the inverse of f(x)?
A. f^-1(x) = x/3 +4
B. F^-1(x) = x/3 -4
C. f^-1(x) = x+4/3
D. F^-1(x) = x-4/3​

Respuesta :

EmJade
The answer is C) F^-1(x) = x+4/3. Please let me know if you need further clarification.
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SociometricStar

Answer:

[tex]f^{-1}(x)=\frac{x+4}{3}[/tex]

C is the correct option.

Step-by-step explanation:

The given function is [tex]f(x)=3x-4[/tex]

Replace f(x) with y

[tex]y=3x-4[/tex]

Interchange x and y as shown below

[tex]x=3y-4[/tex]

Solve the equation for y

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

Therefore, the inverse of f(x) is given by

[tex]f^{-1}(x)=\frac{x+4}{3}[/tex]

C is the correct option.