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Given f(x)= 3x - 2 and.g(x) = - 8x+10, find (f-g)(x). A. 11x-12 B. -5X-8 C. - 5x^2 + 12 D. 11x + 12

User Dekio
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Final answer:

The subtraction of the function g(x) from f(x), represented as (f-g)(x), yields the result A. 11x-12. This result is derived by subtracting the terms of the second function from those of the first, and then simplifying.

Step-by-step explanation:

The subject here is mathematics, specifically the topic of functions. The student is asked to subtract one function g(x) from another function f(x) to get (f-g)(x).

To solve, follow these step-by-step instructions: first, obtain the given functions which are f(x)= 3x - 2 and g(x)= -8x + 10. Then, (f-g)(x) which implies f(x) - g(x). Now, subtract g(x) from f(x) which would be (3x - 2) - (- 8x + 10). Simplifying this, you get 11x - 12.

So, the answer to (f-g)(x) is A. 11x-12.

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