Please help solve these true or false questions, I will upvote! Please answer all as it is one question with multiple parts. Thank you!

Justify: True or False: If we know f(n)=o(g(n)) and h(n)=O(g(n)), then we can safely conclude that f(n)=O(h(n)). (to justify you need to compare the relevant definitions or find counterexamples). Justify: True or False: If we know f(n)=o(g(n)) and h(n)=(g(n)), then we can safely conclude that f(n)=O(h(n)). (to justify you need to compare the relevant definitions or find counterexamples). Justify: True or False: If we know f(n)=(g(n)) and h(n)=O(g(n)), then we can safely conclude that h(n)=o(f(n)). (to justify you need to compare the relevant definitions or find counterexamples). Justify: True or False: If we know f(n)=(g(n)) and h(n)=O(g(n)), then we can safely conclude that h(n)=o(f(n)). (to justify you need to compare the relevant definitions or find counterexamples)