Question

Seja a função definida por f (x)= 5x-13 sobre 3x - 7 calcule f (- 2 )+ f (- 3)

Answer 1

Vamos calcular primeiro f(-2) e f(-3):

$f(-2)=\frac{5*(-2)-13}{3*(-2)-7}\\ \\f(-2)=\frac{-10-13}{-6-7}\\\\f(-2)=\frac{-23}{-13}\\\\f(-2)=\frac{23}{13}$

$f(-3)=\frac{5*(-3)-13}{3*(-3)-7}\\ \\f(-3)=\frac{-15-13}{-9-7}\\\\f(-3)=\frac{-28}{-16}\\\\f(-3)=\frac{7}{4}$

Agora calculando f(-2) + f(-3):

$f(-2) + f(-3) = \frac{23}{13}+ \frac{7}{4}= \frac{183}{52}$