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

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

56

step-by-step explanation: