Respuesta :

Answer:

[tex] (f - g)x = -4x - 25 [/tex]

Step-by-step explanation:

Given:

[tex] f(x) = -7x - 12 [/tex]

[tex] g(x) = 13 - 3x [/tex]

Required:

[tex] (f - g)x [/tex]

SOLUTION:

[tex] (f - g)x = f(x) - g(x) [/tex]

[tex] f(x) - g(x) = (-7x - 12) - (13 - 3x) [/tex]

[tex] = -7x - 12 - 13 + 3x [/tex]

Collect like terms

[tex] = -7x + 3x - 12 - 13 [/tex]

[tex] (f - g)x = -4x - 25 [/tex]