Question

Determine if they are inverses of each other

Answer 1

yes

Explanation:

f(x) = y = 4 - 7x/4

7x/4 + y = 4

7x/4 = 4 - y

7x = 4(4-y)

x = 4(4-y)/7 = 16/7 - 4y/7

renaming to regular function convention (with x as input variable and y as function result) :

inverse function f(x) = y = -4x/7 + 16/7 = g(x)

so, yes, they are inverses of each other.