$$ f(x)=f(15) \cdot x-42 $$ bo'lsa, $$ f(5) $$ ni toping $$ \begin{array}{llll} ext { A) }-18 & ext { B) }-30 & ext { C) }-27 & ext { D) } 27\end{array} $$

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$$ f(x)=f(15) \cdot x-42 $$ bo'lsa, $$ f(5) $$ ni toping $$ \begin{array}{llll}	ext { A) }-18 & 	ext { B) }-30 & 	ext { C) }-27 & 	ext { D) } 27\end{array} $$

UpStudy AI · Accepted Answer

Chiqishimiz shunday:

1. Funksiya ta'rifi:  
   $$
   f(x)=f(15)\cdot x-42
   $$

2. $$ x=15 $$ ni qo‘yamiz:
   $$
   f(15)=f(15)\cdot 15-42
   $$

3. Ushbu tenglamani yechamiz:  
   $$
   f(15)=15f(15)-42 \quad \Rightarrow \quad 15f(15)-f(15)=42 \quad \Rightarrow \quad 14f(15)=42
   $$
   $$
   f(15)=\frac{42}{14}=3
   $$

4. Endi $$ f(x) $$ ni qayta yozamiz:
   $$
   f(x)=3x-42
   $$

5. $$ f(5) $$ ni hisoblaymiz:
   $$
   f(5)=3\cdot 5-42=15-42=-27
   $$

Natija: $$ f(5)=-27 $$, to‘g‘ri javob C).
$$ f(5) = -27 $$, to'g'ri javob C).

bo’lsa, ni toping

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