Question

Answer 1

Giả thiết suy ra \(f\left(2\right)=1\)

\(\dfrac{\sqrt[]{6f\left(x\right)+19}-5+\sqrt[4]{3f\left(x\right)+13}-2}{\left(x-2\right)\left(x+2\right)}\)

\(=\dfrac{\dfrac{6\left[f\left(x\right)-1\right]}{x-2}.\dfrac{1}{\sqrt[]{6f\left(x\right)+19}+5}+\dfrac{3\left[f\left(x\right)-1\right]}{x-2}.\dfrac{1}{\left(\sqrt[4]{3f\left(x\right)+13}+2\right)\left(\sqrt[]{3f\left(x\right)+13}+4\right)}}{x+2}\)

\(=\dfrac{18.\dfrac{1}{\sqrt[]{6.1+19}+5}+9.\dfrac{1}{\left(\sqrt[4]{3+13}+2\right)\left(\sqrt[]{3+13}+4\right)}}{4}\)