1. Use f(x) and g(x) for parts a - e below. For f(x) = 3x² + 5 and g(x) = 7x-2, a) Verify: g(x+2) = g(x) + g(2). g(x + 2) = b) Find (f - g)(x). g(x) + g(2) = 98 shoe in France. Write the answer c) Using the resulting function in (b), show that (f — g)(2) = ƒ(2) – g(2). (f- g)(2) = f(2) - g(2) =
1. Use f(x) and g(x) for parts a - e below. For f(x) = 3x² + 5 and g(x) = 7x-2, a) Verify: g(x+2) = g(x) + g(2). g(x + 2) = b) Find (f - g)(x). g(x) + g(2) = 98 shoe in France. Write the answer c) Using the resulting function in (b), show that (f — g)(2) = ƒ(2) – g(2). (f- g)(2) = f(2) - g(2) =
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section: Chapter Questions
Problem 5CA
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![Math 114 ab Module 2
Show all work for each of the following problems. Simplify and clearly indicate all answers.
1. Use f(x) and g(x) for parts a -e below. For f(x) = 3x² + 5 and g(x) = 7x-2,
a) Verify: g(x + 2) ‡ g(x) + g(2).
g(x + 2) =
b) Find (f- g)(x).
Name:
d) Is (fg)(0) = (0)? Explain.
c) Using the resulting function in (b), show that (f - g)(2) = f(2) — g(2).
(f - g)(2) =
f(2) - g(2) =
e) Find the difference quotient,
g(x) + g(2) =
f(x+h)-f(x)
h
, where h = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a4d8a55-79a2-4411-9b33-ea8041108cf5%2Fd05b809a-5f66-4bc2-94f3-727b38422e26%2Fcx0z8d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Math 114 ab Module 2
Show all work for each of the following problems. Simplify and clearly indicate all answers.
1. Use f(x) and g(x) for parts a -e below. For f(x) = 3x² + 5 and g(x) = 7x-2,
a) Verify: g(x + 2) ‡ g(x) + g(2).
g(x + 2) =
b) Find (f- g)(x).
Name:
d) Is (fg)(0) = (0)? Explain.
c) Using the resulting function in (b), show that (f - g)(2) = f(2) — g(2).
(f - g)(2) =
f(2) - g(2) =
e) Find the difference quotient,
g(x) + g(2) =
f(x+h)-f(x)
h
, where h = 0.
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