Let f and g be bijections such that fog is defined. Prove that fog is bijective.

Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem. "We can use the Angle-Angle Triangle Similarity Theorem to show that all 3 triangles are similar. Because the triangles are similar, corresponding side lengths are in the same proportion. Because the largest triangle is similar to the smaller triangle, =. a Because the largest triangle is similar to the middle triangle, =. We can rewrite these equations as a? = cd and b2 = ce. We can add the 2 equations to get that a2 + b2 = cd + ce or a? + b2 = c(d + e). From the original diagram we can see that d + e = c, so a² + b2 = c(c) or a2 + b2 = c²." Complete Lyndsey's proof by filling in the missing information. • Math symbols • Relations • Geometry • Groups • Trigonometry > Statistics • Series • Greek 立

Need help with ONLY the last four sub parts on this Intro to Elementary Number Theory homework problem.   covered topics prime numbers linear Diophantine equations systems of linear Diophantine equations.