Question
Download Solution PDFf(x) = 4x + 3 எனில், f o f o f(-1) எதற்குச் சமம்?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகோட்பாடு:
எந்த இரண்டு செயல்பாடுகளுக்கும் f மற்றும் g, f o g என்பது f[g(x)] என வரையறுக்கப்படுகிறது.
கணக்கீடு:
கொடுக்கப்பட்டவை,
f(x) = 4x + 3
மேலே உள்ள கருத்தைப் பயன்படுத்தி
⇒ fof(x) = 4(4x + 3) + 3
⇒ fof(x) = 16x + 15
மீண்டும் அதே கருத்தை பயன்படுத்தி
⇒ fofof(x) = 16(4x + 3) + 15
⇒ fofof(x) = 64x + 63
மேலே உள்ள செயல்பாட்டில் x = -1 ஐ வைக்கவும்
⇒ fofof(-1) = 64(-1) + 63 = -1
∴ f o f o f(-1) என்பது -1க்கு சமம்.
Last updated on May 30, 2025
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