Please urgent answers.

k = 1/2

Step-by-step explanation:

g(x) = 3 - kx   g^-1(4) = -2

y = 3 - kx

x = 3 - ky

x - 3 = -ky

(x-3) / (-k) = y

(x-3) / (-k) = (g^-1(x))

4-3 / (-k) = -2

1 / (-k) = -2

1/k = 2

1 = 2k

1/2 = k

10.4 inches

step-by-step explanation:

2x2x2.6

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west