The functions h and m are defined on the set R of real numbers by h:x→ ax +b and m:x → cx -d, where a, b, c and d are constants. If h o m = m o h, show that (c-1) b = (a-1) d

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A: First option is correct. See the attachment.

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Q: Prove that ax² bx + (x − a) (x −b) (x −c) ¹ (x − b) (x − c) || x³ 3 (x-a)(x-b)(x-c) C +—+1 X-C

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.