[tex]h^{\prime}(x)\text{ = }\frac{x-4}{2}(\text{option B)}[/tex]Explanation:
h(x) = 2x + 4
let y =h(x)
y = 2x + 4
To find the inverse, we interchange the x and y
x = 2y + 4
we make y the subject of formula.
subtract 4 from both sides of the equation:
x - 4 = 2y + 4 - 4
x - 4 = 2y
DIvide both sides by 2:
(x-4)/2 = 2y/2
(x-4)/2 = y
Hence, the inverse of the function:
[tex]h^{\prime}(x)\text{ = }\frac{x-4}{2}(\text{option B)}[/tex]
