Question

If f(x) = 3x - 4, which of these is the inverse of f(x)?

Answer 1

Answer:

$f^{-1}(x)=\frac{x+4}{3}$

C is the correct option.

Step-by-step 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

$x+4=3y\\\\y=\frac{x+4}{3}$

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

$f^{-1}(x)=\frac{x+4}{3}$

C is the correct option.

Answer 2

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