Find the inverse of the function. *

D is correct

Step-by-step explanation:

D

Step-by-step explanation:

given g(x) = 2x² + 3

for easily manipulation, we were replace g(x) by y, i;e

y = 2x² + 3   (to find the inverse, we simply have to rearrange the equation such that we express x in terms of y)

y = 2x² + 3  (subtract 3 from both sides)

y - 3 = 2x²   (divide both sides by 2 and flip left and right)

x² = (y-3)/2

x = √[(y-3)/2]

replace x with g'(x) and y with x

g'(x) = √[(x-3)/2]   (answer D)

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

345

step-by-step explanation: