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

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?