Question

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

Answer 1

Ans: The equation of inverse = $\frac{x+4}{3}$

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 = $\frac{x+4}{3}$ (Equation of Inverse)

Answer 2

Answer:

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

Step-by-step explanation:

Given : f(x)=3x-4

To find : Find the equation of the inverse.

Solution : We have given that

f(x) = 3x - 4

Step 1:

We can write f(x) as y:

y = 3x - 4

Step 2:

Interchange x with y :x = 3y - 4

Step 3:

Now solve for y:

x +4 = 3y

On dividing by 3 both sides and swtiching the sides

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

Here y is the inverse function of f(x)

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