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3 Functions fand g are defined by f(x)= XER and |x| |x|+3x 2 g(x)= respectively. (a) Express functions f and g without absolute values. ,XER

3 Functions fand g are defined by f(x)= XER and |x| |x|+3x 2 g(x)= respectively. (a) Express functions f and g without absolute values. ,XER

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 53E
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3 Functions fand g are defined by x² f(x)=√xt" XER and |x|+3x 2 g(x)= respectively. (a) Express functions f and g without absolute values. XER (b) Find g+f without absolute values. (c) Without sketching a graph, explain why g + f is continuous at x = 0. (d) Sketch the graph of y=gf(x).
Transcribed Image Text:3 Functions fand g are defined by x² f(x)=√xt" XER and |x|+3x 2 g(x)= respectively. (a) Express functions f and g without absolute values. XER (b) Find g+f without absolute values. (c) Without sketching a graph, explain why g + f is continuous at x = 0. (d) Sketch the graph of y=gf(x).
7 Function f is defined by x² -1 x<1 x-1 f(x)= m² -2, ||1-x| X-1 (a) If lim f(x) exists, find the value of n. x=1 +n, x>1 where m and n are constants. (b) Iff is continuous at x = 1, determine the values of m.
Transcribed Image Text:7 Function f is defined by x² -1 x<1 x-1 f(x)= m² -2, ||1-x| X-1 (a) If lim f(x) exists, find the value of n. x=1 +n, x>1 where m and n are constants. (b) Iff is continuous at x = 1, determine the values of m.
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