What is the inverse of the function h(x) =3/2(x-11)

(x) = x + 11

Step-by-step explanation:

let y = h(x) and rearrange making x the subject , that is

y = (x - 11 ) ← multiply both sides by 2 to clear the fraction

2y = 3(x - 11) ← distribute

2y = 3x - 33 ( add 33 to both sides )

2y + 33 = 3x ( divide all terms by 3 )

y + 11 = x

Change y back into terms of x with x = (x) , thus

(x) = x + 11

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

i can you with this sweetie!

step-by-step explanation: