4. For f(x) = 3x² + 5 and g(x) = 7x-2, %3D a. Verify: g(x + 2) # g(x) + g(2). b. Find (f – g)(x). c. Using the resulting function in (b), show that (f - g)(2) = f(2) – g(2). (The work should be different for each side of the equation.) %3D

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 1E: To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.
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Please answer a,b,c

4. For f(x) = 3x² + 5 and g(x) = 7x-2,
%3D
a. Verify: g(x + 2) # g(x) + g(2).
b. Find (f – g)(x).
c. Using the resulting function in (b), show that (f - g)(2) = f(2) – g(2).
(The work should be different for each side of the equation.)
%3D
Transcribed Image Text:4. For f(x) = 3x² + 5 and g(x) = 7x-2, %3D a. Verify: g(x + 2) # g(x) + g(2). b. Find (f – g)(x). c. Using the resulting function in (b), show that (f - g)(2) = f(2) – g(2). (The work should be different for each side of the equation.) %3D
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