If there are 512 relation from a set A = [1,2,3] to a set B, then find number of elements in B

EXPLANATION:

Given set A = { 1,2,3}

n(A) = 3

Let the n(B) be n

Total number of relations from A to B = 2^(3×n) =2^3n

According to the given problem

Total relations are = 512

⇛2^3n = 512

⇛2^3n = 2⁹

If bases are equal then exponents must be equal

⇛3n = 9

⇛n = 9/3

⇛n = 3

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

a

step-by-step explanation: