Question

H(x)=2x-4/3
o h^-1(x)= 3x-12/2
o h^-1(x)= 3/(2x-4)
o h^-1(x)= 3x+4/2

Answer 1

D

Explanation:

Edg 2020

Answer 2

`\large\boxed{h^(-1)(x)=(3x+4)/(2)}`

Explanation:

`h(x)=(2x-4)/(3)\to y=(2x-4)/(3)\\\\\text{Exchange x to y and vice versa}:\\\\x=(2y-4)/(3)\\\\\text{Solve for y:}\\\\(2y-4)/(3)=x\qquad\text{multiply both sides by 3}\\\\2y-4=3x\qquad\text{add 4 to both sides}\\\\2y=3x+4\qquad\text{divide both sides by 2}\\\\y=(3x+4)/(2)`