Respuesta :

ANSWER

[tex]f( - 3) = - \frac{9 }{7} [/tex]

EXPLANATION

The given function is

[tex]f(x) = \frac{2 {x}^{2} }{3x - 5} [/tex]

We want to find f(-3)

We substitute x=-3 into the function to get;

[tex]f( - 3) = \frac{2 {( - 3)}^{2} }{3( - 3) - 5} [/tex]

Simplify;

[tex]f( - 3) = \frac{2 \times 9 }{ - 9- 5} [/tex]

[tex]f( - 3) = - \frac{18 }{ 14} [/tex]

[tex]f( - 3) = - \frac{9 }{7} [/tex]