Answer:
The inverse of the function f(x) = 6x + 8 is given by y = (x - 8)/6.
Explanation:
To find the inverse of the function f(x) = 6x + 8, we need to swap the roles of x and y and solve for y.
1. Start with the given function: f(x) = 6x + 8
2. Replace f(x) with y: y = 6x + 8
3. Swap x and y: x = 6y + 8
4. Solve for y:
- Subtract 8 from both sides: x - 8 = 6y
- Divide both sides by 6: (x - 8)/6 = y
Therefore, the inverse of the function f(x) = 6x + 8 is given by y = (x - 8)/6.