Let f left-parenthesis x right-parenthesis equals 2 x squared plus x minus 3 and g left-parenthesis x right-parenthesis equals x minus 1. Perform the indicated operation, then find the domain. left-parenthesis f minus g right-parenthesis left-parenthesis x right-parenthesis A. x squared minus 4; domain: positive real numbers B. 2 x squared minus 4; domain: all real numbers C. x squared minus 4; domain: all real numbers D. 2 x squared minus 2; domain: all real numbers

The value of (f-g)(x) is . Thus, the correct option is (D)

Two different functions are given that are as follow:

We need to determine the value of the composite function that is (f-g)(x).

Now, by using the property of the composite function (f-g)(x) can also be written as:

Substitute the values of both the functions and solve it further for (f-g)(x).

Thus, the value of (f-g)(x) is . Thus, the correct option is (D)

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Step-by-step explanation:

Given that the functions f and g are defined by

and

To find (f-g)(x)

Substitute the values of the functions we get

( by adding the like terms )

answer: (1,3) and (-2,0) i think.