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

12/11c

or

12

c

11

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm