Answer :

[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]

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