8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² – 5x, find (f+g)(x) and (f-g)(x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
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8. Given f(x)=x+3 and g(x)=4- x², find g(f(x)) and f(g(x)).
9. Given f(x)= x²+4x-9 and g(x)=-4x² — 5x, find (f+g)(x) and (f-g)(x).
Transcribed Image Text:8. Given f(x)=x+3 and g(x)=4- x², find g(f(x)) and f(g(x)). 9. Given f(x)= x²+4x-9 and g(x)=-4x² — 5x, find (f+g)(x) and (f-g)(x).
6. Find all the "zeros" of the function f(x)=x³5x² + 4x-20 if you know x=5 is a
root of f.
7. Given the function f(x)= x².
a)
Find the function g(x) performing on f(x) a reflection in the X-axis followed by a
downward shift of 5 units;
b) Find the function h(x) performing on f(x) an horizontal shift of three units to the
right followed by a reflection in the X-axis.
Transcribed Image Text:6. Find all the "zeros" of the function f(x)=x³5x² + 4x-20 if you know x=5 is a root of f. 7. Given the function f(x)= x². a) Find the function g(x) performing on f(x) a reflection in the X-axis followed by a downward shift of 5 units; b) Find the function h(x) performing on f(x) an horizontal shift of three units to the right followed by a reflection in the X-axis.
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