𝐒𝐂𝐈𝐄𝐍𝐂𝐄 𝐒𝐏𝐄𝐂𝐓𝐑𝐔𝐌

Multiple Choice Questions: Composition & Identity Functions Instructions: Choose the best answer for each question. Composition of Functions 1. What does the notation "f(g(x))" represent?   a) f(x) multiplied by g(x)   b) f(x) added to g(x)   c) f(x) divided by g(x)   d) g(x) evaluated first, then the result is used as input for f(x) 2. If f(x) = x² and g(x) = x + 1, what is (f o g)(2)?   a) 3  b) 9  c) 4  d) 5 3. Which of the following is NOT a property of function composition?   a) Associative: (f o g) o h = f o (g o h)   b) Commutative: f o g = g o f   c) Distributive: f o (g + h) = f o g + f o h   d) Identity: f o I = f, where I is the identity function 4. If f(x) = 2x + 1 and g(x) = x - 3, what is (g o f)(x)?   a) 2x - 5  b) 2x + 4  c) 2x - 2  d) 2x + 2 5. What is the domain of the composite function (f o g)(x) if f(x) = √x and g(x) = x - 1?   a) All real numbers  b) x ≥ 1   c) x ≥ 0  d) x > 1 6. If f(x) = x³ and g(x) = 1/x, what is (f o g)(x)?   a) 1/x³  b) x³  c) 1/x  d) x 7. If (f o g)(x) = x² + 1 and g(x) = x + 2, what is f(x)?   a) x² - 3  b) x² + 1  c) x² - 4  d) x² + 5 8. Which of the following statements about the domain of the composite function (f o g)(x) is TRUE?   a) It is always equal to the domain of f(x).   b) It is always equal to the domain of g(x).   c) It is always the intersection of the domains of f(x) and g(x).   d) It is always the union of the domains of f(x) and g(x). 9. If (f o g)(x) = x and (g o f)(x) = x, what can you conclude about f(x) and g(x)?   a) f(x) and g(x) are inverse functions.   b) f(x) and g(x) are the same function.   c) f(x) and g(x) are both identity functions.   d) There is no relationship between f(x) and g(x). Identity Function 10. What is the identity function, denoted by I(x)?   a) I(x) = 0  b) I(x) = 1  c) I(x) = x  d) I(x) = x² 11. What is the value of I(5)?   a) 0  b) 1  c) 5  d) 25 12. For any function f(x), what is the value of (f o I)(x)?   a) I(x)  b) f(x)  c) 0  d) 1 13. Which of the following is NOT a property of the identity function?   a) I(x) = x for all x   b) I(x) is the only function that is its own inverse.   c) I(x) is commutative under composition.   d) I(x) has a domain and range of all real numbers. 14. If f(x) = 2x + 1, what is (I o f)(x)?   a) 2x + 1  b) x  c) 2x  d) 1 15. Which of the following is an example of an identity function?   a) f(x) = x²  b) f(x) = 1/x  c) f(x) = x  d) f(x) = √x Combined Concepts 16. If f(x) = x² and g(x) = 1/x, what is the domain of (f o g)(x)?   a) All real numbers  b) x ≠ 0  c) x > 0  d) x ≥ 0 17. If (f o g)(x) = x and g(x) = x + 1, what is f(x)?   a) x - 1  b) x + 1  c) x²  d) 1/x 18. Which of the following statements about the identity function is TRUE?   a) It is the inverse of every function.   b) It is the inverse of only itself.   c) It is the inverse of only linear functions.   d) It is the inverse of only exponential functions. 19. If f(x) = x³ and g(x) = √x, what is the domain of (f o g)(x)?   a) All real numbers  b) x ≥ 0  c) x > 0  d) x ≠ 0 20. If (f o g)(x) = x² and g(x) = x - 1, what is f(x)?   a) x² - 1  b) x² + 1  c) x² - 2x + 1  d) x² + 2x + 1 21. What is the value of (I o f)(x), where f(x) is any function?   a) f(x).   b) I(x)  c) 0  d) 1 22. If (f o g)(x) = x, what is (g o f)(x)?   a) x  b) f(x)  c) g(x)  d) It can't be determined. 23. What is the composition of the identity function with itself?   a) The zero function  b) The identity function  c ) The square function d) The inverse function 24. If f(x) = 2x and g(x) = 1/x, what is (f o g)(x)?   a) 2/x  b) x/2  c) 2x  d) 1/2x 25. If (f o g)(x) = 1/x² and g(x) = x - 1, what is f(x)?   a) 1/x  b) 1/(x - 1)²   c) 1/(x + 1)²  d) 1/x²

👉እነዚ ጥያቄዎች ስንቶቻችሁ መልሱን በትክክል መልሳችሁ በ Comment አሳዉቁን።

Grade 11 unit 3 kinematics

ነገ የ50% ቅናሽ መመዝብያ ቀን መጨረሻ ስለሆነ ከነገ በኃላ ምዝገባ እናቆማለን። የመመዝገብ ኃሳብ ያላችሁ ልጆች ቶሎ እንድትመዘገቡ እናሳስባችኋለን። ለበለጠ መረጃ 0916999533 ይደውሉልን። ➦Share   🗨️ Comment       ➣Forward 👇 Join us for more 👇 ╔═══════════╗   @omo_academy ╚═══════════╝ 𝐎𝐌𝐎 𝐀𝐂𝐀𝐃𝐄𝐌𝐘            𝑌𝑜𝑢𝑟 𝑝𝑎𝑡ℎ𝑤𝑎𝑦 𝑡𝑜 𝑠𝑢𝑐𝑐𝑒𝑠𝑠 !

እስከ መጨረሻው አንብቡት ተማሪዎች ከእናንተ ጋር ምርጥ የሆኑ ትምህርታዊ  ሀሳቦችን  እያካፈልን እንደሆነ ተስፋ እናደርጋለን። በተጨማሪም ዛሬ የቀሩ ሙሉ Extreme series እና Top books መልቀቅ አስበናል ግን ከ731 subscribers ብያንስ 400  ሼር አያደርግም። ሼር የሚያደርግ ሰው ከለለ ምን ይደረጋል እንግዲህ መተው አማራጭ ይሆናል። Have a nice day ! ➦Share   🗨️ Comment       ➣Forward 👇 Join us for more 👇 ╔═══════════╗   @omo_academy ╚═══════════╝ 𝐎𝐌𝐎 𝐀𝐂𝐀𝐃𝐄𝐌𝐘            𝑌𝑜𝑢𝑟 𝑝𝑎𝑡ℎ𝑤𝑎𝑦 𝑡𝑜 𝑠𝑢𝑐𝑐𝑒𝑠𝑠 !

🅱️𝚒𝚘𝚕𝚘𝚐𝚢 𝕔𝕙𝕒𝕡𝕥𝕖𝕣 2            🐛Αиιмαℓѕ 🐌 ሰላም ሰላም ቤተሰቦቻችን ክላስ እንዴት ነው ። ዛሬ  ⓐⓝⓘⓜⓐⓛ የሚለውን chapter እናያለን ትህትና ነኝ አሪፍ ቆይታ  በነገራችን ላይ ይሄ chapter ማለት ከድሮው ዘጠነኛ ክፍል chapter 5 ላይ ካለው kingdom animalia ጋር ተመሳሳይ ነው  🧠 ማስታወስ መቻል አለባችሁ ። ይሄ chapter በውስጡ የሚከተሉትን ሀሳቦች ይዟል ። 📌 the characteristics of animals.  📌 vertebrates and invertebrates 📌reproduction in vertebrates. 📌 economic importance of animals (insects) in agriculture, food,  industry, health, and medicine 📌animal behavior  📌 animal behavior 📌 homeostasis in animals: thermoregulation, osmoregulation and sugar balance  📌renowned zoologist in Ethiopia 📚characters of animals ሁሉም እንስሳቶች የሚከተሉት የጋራ ባህሪያት አሏቸው ።እነርሱም all are eukaryotic, multicellular, heterotrophic, and sensitive to stimuli; and they reproduce, protect themselves, move, respire, excrete, grow, and have different body symmetries. 📚እንስሳቶች በሁለት ይከፈላሉ ። እነርሱም vertebrates and invertebrates. 📚Invertebrates are animals without spines, (የጀርባ አጥንት የሌላቸው) while vertebrates have a spine (የጀርባ አጥንት ያላቸው ) 📚 Vertebrates ደግሞ  በሁለት ይከፈላሉ ። እነርሱም homeothermic (warm-blooded) animals that include mammals and birds, and poikilothermic(coldblooded) animals that include fish, reptiles, and amphibians ናቸው ። 📚Invertebrates ደግሞ ወደ ሌሎች ብዙ ክፍሎች ይከፈላሉ ። 📌porifera, platyhelminthes, cnidaria, arthropoda, Annelida, echinidermata, and mollusca. 📌 Arthropods  ደግሞ እንደገና crustacea, spiders, insects, and many-legs ተብለው ይከፈላሉ ። Have a nice day ! ➦Share   🗨️ Comment       ➣Forward 👇 Join us for more 👇 ╔═══════════╗   @omo_academy ╚═══════════╝ 𝐎𝐌𝐎 𝐀𝐂𝐀𝐃𝐄𝐌𝐘            𝑌𝑜𝑢𝑟 𝑝𝑎𝑡ℎ𝑤𝑎𝑦 𝑡𝑜 𝑠𝑢𝑐𝑐𝑒𝑠

እስከ መጨረሻው አንብቡት ተማሪዎች ከእናንተ ጋር ምርጥ የሆኑ ትምህርታዊ  ሀሳቦችን  እያካፈልን እንደሆነ ተስፋ እናደርጋለን። በተጨማሪም ዛሬ የቀሩ ሙሉ Extreme series እና Top books መልቀቅ አስበናል ግን ከ731 subscribers ብያንስ 400 ሼር አያደርግም። ሼር የሚያደርግ ሰው ከለለ ምን ይደረጋል እንግዲህ መተው አማራጭ ይሆናል። Have a nice day ! ➦Share   🗨️ Comment       ➣Forward 👇 Join us for more 👇 ╔═══════════╗   @omo_academy ╚═══════════╝ 𝐎𝐌𝐎 𝐀𝐂𝐀𝐃𝐄𝐌𝐘            𝑌𝑜𝑢𝑟 𝑝𝑎𝑡ℎ𝑤𝑎𝑦 𝑡𝑜 𝑠𝑢𝑐𝑐𝑒𝑠𝑠 !

#Like ከ 20 በላይ ከሆነ ቀጣይ እንለቃለን

Extreme Series New Curriculum Biology Grade 11 Unit 1 ➦Share   🗨️ Comment       ➣Forward 👇 Join us for more 👇 ╔═══════════╗   @omo_academy ╚═══════════╝ . 𝐎𝐌𝐎 𝐀𝐂𝐀𝐃𝐄𝐌𝐘             𝒀𝒐𝒖𝒓 𝒑𝒂𝒕𝒉 𝒘𝒂𝒚 𝒕𝒐 𝒔𝒖𝒄𝒄𝒆𝒔𝒔 !

Extreme Series New Curriculum Biology Grade 11 Unit 1 ➦Share   🗨️ Comment       ➣Forward 👇 Join us for more 👇 ╔═══════════╗   @omo_academy ╚═══════════╝ https://t.me/omo_academy 𝐎𝐌𝐎 𝐀𝐂𝐀𝐃𝐄𝐌𝐘             𝒀𝒐𝒖𝒓 𝒑𝒂𝒕𝒉 𝒘𝒂𝒚 𝒕𝒐 𝒔𝒖𝒄𝒄𝒆𝒔𝒔 !

🌺Biology🌺 Grade 12 Unit-2: Microorganisms Part-2 Bacteria 🦠 •Prokaryotic There 3 Bacterial 𝘀𝗵𝗮𝗽𝗲 •𝗖𝗼𝗰𝗰𝗶-spherical shape •𝔹𝕒𝕔𝕚𝕝𝕝𝕚-ℝod 🔴shape •𝘚𝘱𝘪𝘳𝘰𝘤𝘩𝘦𝘵𝘦 - spiral/cokskrew shape 👉Additional:strepto-chain 👇Classification Based on their 𝗰𝗲𝗹𝗹 𝘄𝗮𝗹𝗹 compostion -Gram negative and -Gram positive bacteria 𝐆𝐑𝐀𝐌 𝕡𝕠𝕤𝕚𝕥𝕚𝕧𝕖 ➡️Have 𝘁𝗵𝗶𝗰𝗸 𝗽𝗲𝗽𝘁𝗶𝗱𝗼𝗴𝗹𝘆𝗰𝗮𝗻 ➡️Retain the color of the counter stain called safranin ➡️More susceptible to antibiotics & disinfectants  E.g., Mycobacterium tuberculosis... 𝐆𝐑𝐀𝐌 𝕟𝕖𝕘𝕒𝕥𝕚𝕧𝕖 ☑️Have 𝘁𝗵𝗶𝗻 layer of peptidoglycan in their cell walls that absorbs the stain. ☑️Produce 𝗲𝗻𝗱𝗼𝘁𝗼𝘅𝗶𝗻 ☑️Have 𝗹𝗶𝗽𝗼𝗽𝗼𝗹𝘆𝘀𝗮𝗰𝗰𝗵𝗮𝗿𝗶𝗱𝗲 (a membrane outside the peptidoglycan cell wall) that blocks the entry of crystal violet & iodine solution, w/c Gram-positive bacteria do not have. ✅𝗡𝘂𝘁𝗿𝗶𝘁𝗶𝗼𝗻 type of bacteria 𝔼𝕟𝕖𝕣𝕘𝕪 source Chemo🧪- from chemical reactions Photo🔆- from light 𝔼𝕝𝕖𝕔𝕥𝕣𝕠𝕟 sources 𝐋𝐢𝐭𝐡𝐨- from inorganic electron donor 𝐎𝐫𝐠𝐚𝐛𝐨-from organic molecule Source of carbon Authotroph- Carbon dioxide Hetrotroph- organic molecule(organic carbon )💭 𝗥𝗲𝗽𝗿𝗼𝗱𝘂𝗰𝘁𝗶𝗼𝗻 of Bacteria 𝐀𝐒𝐄𝐗𝐔𝐀𝐋 reproduction :Binary fission 𝐒𝐄𝐗𝐔𝐀𝐋 reproduction :In bacteria the essence of sex is genetic recombination by 𝐂𝐨𝐧𝐣𝐮𝐜𝐚𝐭𝐢𝐨𝐧: transfer of DNA from a living donor bacterium to a living recipient bacterium by cell-to-cell contact. 𝐓𝐫𝐚𝐧𝐬𝐝𝐮𝐜𝐭𝐢𝐨𝐧🦠 : a bacteriophage carriers the plasmid from one to another 𝐓𝐫𝐚𝐧𝐬𝐟𝐨𝐫𝐦𝐚𝐭𝐢𝐨𝐧:the plasmid is absorbed from a dead⚰️ bacterium. This is all about bacteria,so please don't miss these points and don't forget ro react 🥰🥰 ➦Share   🗨️ Comment       ➣Forward 👇 Join us for more 👇 ╔═══════════╗   @omo_academy ╚═══════════╝ 𝐎𝐌𝐎 𝐀𝐂𝐀𝐃𝐄𝐌𝐘             𝒀𝒐𝒖𝒓 𝒑𝒂𝒕𝒉 𝒘𝒂𝒚 𝒕𝒐 𝒔𝒖𝒄𝒄𝒆𝒔𝒔 !

𝗔𝗡𝗔𝗧𝗢𝗠𝗬 (1) 𝐃𝐢𝐠𝐞𝐬𝐭𝐢𝐯𝐞 𝐒𝐲𝐬𝐭𝐞𝐦

❖ The alimentary canal present in the body cavity is divided into three regions: foregut, midgut and hindgut.

❖ The mouth opens into a short tubular pharynx leading to a narrow tubular passage called oesophagus.

❖ This in turn, opens into a sac like structure called crop used for storing of food.

❖ The crop is followed by gizzard or proventriculus.

❖ Gizzard helps in grinding the food particles.The entire foregut is lined by cuticle.

❖ A ring of 6-8 blind tubules called hepatic or gastric caecae is present at the junction of foregut and midgut, which secrete digestive juice.

❖ At the junction of midgut and hindgut is present another ring of 100-150 yellow coloured thin filamentous Malpighian tubules.

❖ They help in removal of excretory products from haemolymph.

❖ The hindgut is broader than midgut and is differentiated into ileum, colon and rectum. The rectum opens out through anus.