Math is this a inverse (show work) k(x)=3x^2-12

sqrt(1/2x+6) = h^-1 (x)

Step-by-step explanation:

To find the inverse, we exchange x and y and then solve for y

y = 2x^2 -12

Exchange x and y

x = 2y^2 -12

Solve of y

Add 12 to each side

x+12 = 2y^2

Divide by 2

(x+12) /2 = 2y^2/2

(x+12)/2 =y^2

1/2 x+6 = y^2

Take the square root of each side

sqrt(1/2x+6) = sqrt(y^2)

sqrt(1/2x+6) = y

This is the inverse

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2