Question

Inverse of f(x)=5/6x + 10

Answer 1

The inverse function of f(x) = 5/6x + 10 is found by interchanging x and y and algebraically solving for y, resulting in y = 6/5(x - 10).

Step-by-step explanation:

To find the inverse function of f(x) = ⅖x + 10, we need to interchange the roles of x and y and then solve for y.

Starting with y = ⅖x + 10, we swap x and y to get x = ⅖y + 10. Now we solve for y:

1. Subtract 10 from both sides: x - 10 = ⅖y.
2. Multiply both sides by 6/5 to isolate y: (6/5)(x - 10) = y.
3. The inverse function is y = ⅖(x - 10).