If f (x) = x-x, show that 2.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
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Answer 2 and 3 only
III.
Functions
1. Iff (x) = x² - 4x + 9, find (a) f(1), (b) f(-3), (c) f(0)
If f (x) = x-x, show that f (x+ 1) =f(-x).
2.
f(x+h)-f(x)
Evaluate the expression
3.
for the following functions f:
(a) f(x) = 2x – x²
(b) f(x) = 3x/2
(c) f(x) = 2x – 1
(d) f(x) = x³ - 1
Transcribed Image Text:III. Functions 1. Iff (x) = x² - 4x + 9, find (a) f(1), (b) f(-3), (c) f(0) If f (x) = x-x, show that f (x+ 1) =f(-x). 2. f(x+h)-f(x) Evaluate the expression 3. for the following functions f: (a) f(x) = 2x – x² (b) f(x) = 3x/2 (c) f(x) = 2x – 1 (d) f(x) = x³ - 1
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