Question

Which equation is the inverse of the function1) h(x) = 2x + 45A) h'(x)= ?8=-X-aloo3B) 7"'(x) = -1-4421C) h-(x)=-=x+alw5D) h*'(x)=

Answer 1

`h^(\prime)(x)\text{ = }(x-4)/(2)(\text{option B)}`Step-by-step 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:

`h^(\prime)(x)\text{ = }(x-4)/(2)(\text{option B)}`