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Question

f(x+1)+f(x)=4x+8 olduguna göre f(1) nedir?

Answer 1

$\begin{align*} & f\left( x+1\right) =a\left( x+1\right) +b\\ & f\left( x\right) =ax+b\\ & f\left( x+1\right) +f\left( x\right) =2ax+a+2b\\ & 2ax+a+2b=4x+8\\ & 2a=4\\ & a=2\end{align*}$

\begin{align*} & a+2b=8\\ & 2+2b=8\\ & b=3\\ & f\left( x\right) =2X+3\\ & f\left( 1\right) =5\end{align*}$