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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(52803)   (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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