Question

Dada a função onde f(x) =3x+7. Calcule: f(√7) -f(√π)/√7-√π

Answer 1

$f\left(x \right )=3x+7\\ \\ \\ \dfrac{f\left(\sqrt{7} \right )-f\left(\sqrt{\pi} \right)}{\sqrt{7}-\sqrt{\pi}}\\ \\ =\dfrac{\left(3\sqrt{7}+7 \right )-\left(3\sqrt{\pi}+7 \right )}{\sqrt{7}-\sqrt{\pi}}\\ \\ =\dfrac{3\sqrt{7}+7-3\sqrt{\pi}-7}{\sqrt{7}-\sqrt{\pi}}\\ \\ =\dfrac{3\sqrt{7}-3\sqrt{\pi}+7-7}{\sqrt{7}-\sqrt{\pi}}\\ \\ =\dfrac{3\sqrt{7}-3\sqrt{\pi}}{\sqrt{7}-\sqrt{\pi}}\\ \\ =\dfrac{3\left(\sqrt{7}-\sqrt{\pi} \right )}{\sqrt{7}-\sqrt{\pi}}\\ \\ =3\\ \\ \\ \boxed{\dfrac{f\left(\sqrt{7} \right )-f\left(\sqrt{\pi} \right)}{\sqrt{7}-\sqrt{\pi}}=3}$