SOLUTION: Hi there, I'm not exactly sure how to set up this problem. Any help is very much appreciated! Let f(x) = 3x^2 + 7x – 5 and g(x) = 2 – x. (a) Evaluate the function g – f

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Question 1037114: Hi there,
I'm not exactly sure how to set up this problem. Any help is very much appreciated!
Let f(x) = 3x^2 + 7x – 5 and g(x) = 2 – x.
(a) Evaluate the function g – f for x = –1. That is, find (g – f)(–1).

(b) Evaluate the function fg for x = –1. That is, find (f g)( –1).


(c) Find the difference function (f – g)(x) and simplify the results.

Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.
Hi there,
I'm not exactly sure how to set up this problem. Any help is very much appreciated!
Let f(x) = 3x^2 + 7x – 5 and g(x) = 2 – x. 

(a) Evaluate the function g – f  for x = –1. That is, find (g – f)(–1).    <<<--- Calculate f(-1) and g(-1), then subtract.


(b) Evaluate the function fg for x = –1. That is, find (f g)( –1).         <<<--- Calculate f(-1) and g(-1), then multiply.



(c) Find the difference function (f  – g)(x) and simplify the results.     <<<--- Calculate the difference of the polynomials.
                                                                                  It is  (3x^2 + 7x – 5) - (2 – x) = 3x^2 + 8x -7.


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