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If f(x) = 3x+ 2 and g(x) = 2x-2, what is (f-8)(x)?

User Dgund
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1 Answer

10 votes

Answer: x + 4

Explanation:

If it is asking us for (f - g)x, then we will subtract the function g from function f. Why? The x distributes creating f(x) - g(x), so we use this to solve.

Given:

g(x) = 2x - 2

f(x) = 3x + 2

Set up:

f(x) - g(x)

(3x + 2) - (2x - 2)

Distribute the negatie:

3x + 2 - 2x + 2

Reorder to combine like terms:

3x - 2x + 2 + 2

Combine like terms:

x + 4

(f - g)(x) = x + 4

User Mateusz Kornecki
by
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