Answer:
The first two pairs of functions are inverse of each other
Step-by-step explanation:
Inverse functions?
1...................................
f(x) = {(-5, -9), (-3, -4), (0,1), (3,7), (6,13)}
g(x) = {(-9,-5), (-4, -3), (1,0), (7,3), (13,6)}
- Yes, this pair is inverse as all points of the functions have inverse values
2...................................
f(x) = x + 7 is given
Inverse of f(x) is
- x = f'(x) + 7 ⇒ f'(x) = x - 7
Since g(x) = x - 7 it is inverse with f(x)
- Yes, this pair is inverse as described above
3...................................
Data of f(x) and g(x)
x = {2, 3, 4, 5} f(x) = {3, 8, 15, 24}
x = {5, 4, 3, 2} g(x) = {24, 15, 8, 3}
- No, as both functions have same domain and range
- example is f(2) = 3 and g(2) = 3 as per table
