Question

Find the inverse of h(x)=(2x-4)/3

Answer 1

Answer:

The inverse of the h(x) is $h^{-1}(x)=\frac{3x}{2}+2$           Step-by-step explanation:

Given : Expression $h(x)=\frac{2x-4}{3}$

To find : The inverse of the expression ?

Solution :

Expression $h(x)=\frac{2x-4}{3}$

Let, h(x)=y then  $y=\frac{2x-4}{3}$

For inverse we replace the value of x and y and find the value of y in terms of x.

Replace the value of x and y,

$x=\frac{2y-4}{3}$

Solve for y by cross multiply,

$3x=2y-4$

Adding 4 both side,

$3x+4=2y$

Dividing by 2 both side,

$\frac{3x+4}{2}=y$

Therefore, The inverse of the h(x) is $h^{-1}(x)=\frac{3x}{2}+2$

Answer 2

Answer:

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

Step-by-step explanation:

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