If f: G H, g: H K are homomorphisms, prove that the composite function g

Question:

If f: G → H, g: H → K are homomorphisms, prove that the composite function g ◦ f: G → K, where (g ◦ f)(x) = g(f(x)), is a homomorphism.
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: