5. Given the functions f(x) = x² - x and g(x) = x-1, determine an equation for the composite function y = f(g(x)). a. y = x² - 3x + 1 b.y=x²-3x+2 c. y=x²-x-1 d.y=x²-x+1 6. Given the functions f(x) = sinx and g(x) = x, determine the domain of the combined function y = f(x)+g(x). b. {x = R} c. {x € R, -1 ≤x≤1} d. cannot be determined a. {x € R, -21 ≤ x ≤ 2n}
5. Given the functions f(x) = x² - x and g(x) = x-1, determine an equation for the composite function y = f(g(x)). a. y = x² - 3x + 1 b.y=x²-3x+2 c. y=x²-x-1 d.y=x²-x+1 6. Given the functions f(x) = sinx and g(x) = x, determine the domain of the combined function y = f(x)+g(x). b. {x = R} c. {x € R, -1 ≤x≤1} d. cannot be determined a. {x € R, -21 ≤ x ≤ 2n}
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. Given the functions f(x) = x² - x and g(x) = x − 1, determine an equation for the composite function y = f(g(x)).
a. y=x²-3x+1
b.y = x²-3x+2
c. y = x²-x-1
d.y=x²-x+1
6. Given the functions f(x) = sinx and g(x) = x, determine the domain of the combined function y = f(x) + g(x).
b. {x = R}
c. {xe,-1≤x≤1} d. cannot be determined
a.
{xe , -2≤x≤27}
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