If f: Z → Z, f = x + 2 and g: Z → Z with gof = Iz, then g is
Answer & explanation
Correct answer: option 2
gof = Iz ⇒ (gof)(x) = x for all x ∈ Z so that g(f(x)) = x
or g(x + 2) = x ⇒ g(x) = x - 2, x ∈ Z.
Hence (B) is the correct answer.
If f: Z → Z, f = x + 2 and g: Z → Z with gof = Iz, then g is
Correct answer: option 2
gof = Iz ⇒ (gof)(x) = x for all x ∈ Z so that g(f(x)) = x
or g(x + 2) = x ⇒ g(x) = x - 2, x ∈ Z.
Hence (B) is the correct answer.