Answer:
a) (f + g)(x) = 8x + 2
b) (f - g)(x) = 4x - 6
Step-by-step explanation:
Given:
- f(x) = 6x - 2
- g(x) = 2x + 4
a) Find (f + g)(x):
a. (f + g)(x) = f(x) + g(x)
⇒ (f + g)(x) = (6x - 2) + (2x + 4)
⇒ (f + g)(x) = 6x + 2x - 2 + 4
⇒ (f + g)(x) = 8x + 2
b) Find (f - g)(x):
b. (f - g)(x) = f(x) - g(x)
⇒ (f - g)(x) = (6x - 2) - (2x + 4)
⇒ (f - g)(x) = 6x - 2x - 2 - 4
⇒ (f - g)(x) = 4x - 6
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