Question

Find the inverse of

f(x) = 4x + 2 over 3​

Answer 1

Answer: f^-1(x)=(3x-2)/4

Explanation:

1. Change the x and y

y=(4x+2)/3 → x=(4y+2)/3

2. Swap sides (optional)

x=(4y+2)/3 → (4y+2)/3=x

3. Multiply the equation by 3 on both sides

(4y+2)/3=x → (3)*(4y+2)/3=x*(3)

4. Subtract 2 from both sides

(3)*(4y+2)/3=x*(3) → 4y=3x-2

5. Divide 4 from both sides

4y=3x-2 → y=(3x-2)/4

6 Substitute f^-1(x) for y

y=(3x-2)/4 → f^-1(3x-2)/4