Question
Download Solution PDFযদি f(x) = 4x + 3 হয়, তাহলে f o f o f(-1) কত হবে?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFঅনুসৃত ধারণা:
f এবং g যেকোনো দুটি ফাংশনের জন্য, f এবং g, f[g(x)] হিসাবে সংজ্ঞায়িত করা হয়।
গণনা:
প্রদত্ত,
f(x) = 4x + 3
উপরের ধারণা ব্যবহার করে
⇒ fof(x) = 4(4x + 3) + 3
⇒ fof(x) = 16x + 15
আবার একই ধারণা ব্যবহার করে
⇒ fofof(x) = 16(4x + 3) + 15
⇒ fofof(x) = 64x + 63
উপরের ফাংশনে x = -1 রাখুন
⇒ fofof(-1) = 64(-1) + 63 = -1
∴ f o f o f(-1) -1 এর সমান।
Last updated on May 30, 2025
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