Question

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​

Answer 1

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

Answer 2

`f^(-1)(x)=(x+4)/(3)`

C is the correct option.

Explanation:

The given function is
`f(x)=3x-4`

Replace f(x) with y

`y=3x-4`

Interchange x and y as shown below

`x=3y-4`

Solve the equation for y

`x+4=3y\\\\y=(x+4)/(3)`

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

`f^(-1)(x)=(x+4)/(3)`

C is the correct option.