Let two functions R→R, R→R are defined as f(a) g(a)
Let functions f: R->R and g: R->R be defined by f(a) = a2 and g(a) = a + 1. Choose the correct option.
- A.
The composition of f and g is commutative.
- B.
The composition of f and g is not commutative.
- C.
The composition of f and g is commutative and equal to f(a2 + 1)
- D.
The composition of f and g is commutative and equal to (a2 + 1)
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Correct answer: B
fog = f(g(a)) = f(a + 1) = (a + 1)2
gof = g(f(a)) = g(a2) = a2 + 1
fog, gof, so they are not commutative.