Respuesta :

Known :

f(x) = 3x - 1

g(x) = x + 2

Asked :

(f - g)(x) = ...?

Answer :

(f - g)(x)

= (3x - 1) - (x + 2)

= (3x - x) (-1 + 2)

= 2x - 1

So, (f - g)(x) equal to 2x - 1 (C)

Hope it helpful and useful :)

Required value of  (f - g)(x) = 2x-3 for f(x) = 3x - 1 and g(x) = x + 2. Option B is correct.

Two functions are given f(x) = 3x - 1 and g(x) = x + 2, where  (f - g)(x) is to evaluate.

What is a function?

A function whose set of the independent variable and dependent variable are subsets of the set of real numbers. It is often comprehended in many extents of computation that the independent variable and dependent variable of any function are of the set of natural numbers.

f(x) = 3x - 1
g(x) = x + 2

Executing the statement (f - g)(x),
(f - g)(x) = f(x) -g(x)
(f - g)(x) = 3x-1 - (x+2)
(f - g)(x)  = 3x-1 -x-2   (here multiply the negative sign under parathesis changes the signs )
(f - g)(x) = 3x-x-1-2
(f - g)(x) = 2x-3

Thus, required value of  (f - g)(x) = 2x-3 for f(x) = 3x - 1 and g(x) = x + 2.

Learn more about function here:

brainly.com/question/21145944

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