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

Answer:

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

Step-by-step explanation:

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