1. If f(x) = x² + 1 and g(x) = (x + 3)" determine domain and range of following functions F'(x)) = ((x+3) 11 Y=f*¹(g(x)) Y=f(g(x)) 2. If f(x) = -x² + 2x-4 g(x)=1/(2x+4) find g(f(-1)), f(g(-1)). 3. Describe the feature of each functions. ( f(x) = 2x³-5x² - 4x + 1 f(x) = -x-x³ + 3x² + 4x-6 4. For the function y = -2x57 circle the answer. Is it a polynomial function? Yes No Describe the end behaviors using infinity notation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. If f(x) = x² + 1 and g(x) = (x + 3)" determine domain and range of following functions
F'(900) = 10×131) F
(x)) ((X+3)
Y=f*¹(g(x))
Y=f(g(x))
2. If f(x) = -x² + 2x - 4 g(x)=1/(2x+4) find g(f(-1)), f(g(-1)).
3. Describe the feature of each functions.
f(x) = 2x³-5x² - 4x + 1
f(x) = -x-x³+3x²+4x-6
4. For the function y = -2x57 circle the answer.
Is it a polynomial function? Yes No
Describe the end behaviors using infinity notation.
CS
Transcribed Image Text:1. If f(x) = x² + 1 and g(x) = (x + 3)" determine domain and range of following functions F'(900) = 10×131) F (x)) ((X+3) Y=f*¹(g(x)) Y=f(g(x)) 2. If f(x) = -x² + 2x - 4 g(x)=1/(2x+4) find g(f(-1)), f(g(-1)). 3. Describe the feature of each functions. f(x) = 2x³-5x² - 4x + 1 f(x) = -x-x³+3x²+4x-6 4. For the function y = -2x57 circle the answer. Is it a polynomial function? Yes No Describe the end behaviors using infinity notation. CS
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