Question

What is the inverse of the function h(x)=43​x+12?

a) h⁻¹(x)=4/3​x−12
b) h⁻¹(x)=4/3x+12
c) h⁻¹(x)=3/4x−12
d) h⁻¹(x)=4/4x+12

Answer 1

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:

1. Replace h(x) with y: y = 43x + 12
2. Interchange x and y: x = 43y + 12
3. Solve for y: x - 12 = 43y
4. 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.