Question

cho f(x)=2x+3 . Biết x1 + x2 =5. vậy f(x1)+f(x2)=

Answer 1

Theo đề bài: \(f\left(x\right)=2x+3\)

\(\Rightarrow\left\{{}\begin{matrix}f\left(x_1\right)=2\times x_1+3\\f\left(x_2\right)=2\times x_2+3\end{matrix}\right.\)

\(\Rightarrow f\left(x_1\right)+f\left(x_2\right)=2\times x_1+3+2\times x_2+3=\left(2\times x_1+2\times x_2\right)+\left(3+3\right)\) \(=2\times\left(x_1+x_2\right)+6\) \(=2\times5+6=10+6=16\)

Vậy \(f\left(x_1\right)+f\left(x_2\right)=16\).