Which statement verifies that f(x) and g(x) are inverses of each other?
f(g(x)) = x
f(g(x)) = x and g(f(x)) = –x
f(g(x)) = g(f(x)
f(g(x)) = x and g(f(x)) = x

AN   inverse function  is a function that "reverses" another function that is : f(x) = y if and only if g(y) = x.

The statement f(g(x))=x means  f is the inverse of g.

Two functions are inverse of each other if it satisfies the property f(g(x))=x and g(f(x)) =x .

In the given options the last option f(g(x)) = x and g(f(x)) = x verifies that f(x) and g(x) are inverses of each other .

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.