There are 4 planets. the first planet has an orbit of 3 years. the second planet has an orbit of 5 years. the third planet has an orbit of 8 years. the fourth planet has an orbit of 12 years. if there in conjunction how long till they're in conjunction again? math problem answer

Find the LCM of the four numbers (3, 5, 8, 12)

3: 3

5: 5

8: 2 * 2 * 2

12: 2 * 2 * 3

LCM = 2 * 2 * 2 * 3 * 5

        = 120

120 years

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2