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]