Final answer:
The inverse of the function h(x)=43x+12 is h⁻¹(x) = (x - 12)/43.
Step-by-step explanation:
The inverse of a function can be found by interchanging the roles of x and y and solving for y. To find the inverse of the function h(x)=43x+12, we can follow these steps:
- Replace h(x) with y: y = 43x + 12
- Interchange x and y: x = 43y + 12
- Solve for y: x - 12 = 43y
- Divide both sides by 43: y = (x - 12)/43
Therefore, the inverse of the function h(x)=43x+12 is h⁻¹(x) = (x - 12)/43.