Question

Find the equation of the inverse.
f(x)=3x-4
Please show work

Answer 1

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

Step-by-step explanation:

Given the equation:

`f(x) = 3x-4`

Let y=f(x), then;

`y= 3x-4`

Step 1.

Interchange x and y in equation [1] we have;

`x = 3y-4`

Step 2.

Add 4 to both sides we have;

`x+4= 3y`

Step 3.

Divide both sides by 3, to solve for y:

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

or

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

Replace
`y = f^(-1)(x)`

We have;

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

Therefore, the inverse of the given equation is,
`f^(-1)(x) =(x+4)/(3)`

Answer 2

Ans: The equation of inverse =
`(x+4)/(3)`

Step-by-step explanation:
Given function:
f(x) = 3x - 4

Step 1:
We can write f(x) as y:
y = 3x - 4

Step 2:
Interchange x with y and vice versa:
x = 3y - 4

Step 3:
Now solve for y:
x +4 = 3y
y =
`(x+4)/(3)` (Equation of Inverse)