Consider f: {1,2,3}→{a,b,c} and g: {a,b,c}→{apple, ball, cat} defined as f(1)=a, f(2)=b, f(3)=c, g(a)=apple, g(b)=ball and g(c)=cat. Show that f, g and gof are invertible. Find f-1, g-1, (gof)-

Consider f: ${1, 2, 3} \to {a, b, c}$ and g: ${a, b, c} \to {a p p l e, b a l l, c a t}$ defined as f(1)=a, f(2)=b, f(3)=c, g(a)=apple, g(b)=ball and g(c)=cat. Show that f, g and gof are invertible. Find $f^{- 1}, g^{- 1}, (g o f)^{-Matching exerciseMatch the items on the right to the items on the left.CheckOKStep 1Step 2Step 3Step 4Step 5Step 6Step 7Step 8Step 9Step 10Step 11Step 12Step 13Step 14Step 15Step 16Step 17Step 18Step 19}$