4.9k views
1 vote
State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2

User Xmindz
by
5.9k points

1 Answer

3 votes

Answer:

they are not inverses

Explanation:

f(1) = 1/1 +3 = 1 +3 = 4

g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1

If the functions were inverses, we would have g(f(1)) = 1, which we do not.

The given functions are not inverses.

_____

The same would be true if your functions were

f(x) = 1/(x+3) and g(x) = 4/(x+2)

f(1) = 1/(1+3) = 1/4

g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1

User Lwi
by
4.9k points