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1. For f(x) = 2x + 1; g(x) = 3x - 2, find (f + g)(x) and (f - g)(x).
2. For f(x) = 2x^2 + 3; g(x) = 4x^3 + 1, find (f • g)(x) and (f/g)(x).
Question 1
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 2x + 1 + 3x - 2
(f + g)(x) = 5x - 1
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 2x + 1 -(3x - 2)
(f - g)(x) = 2x + 1 - 3x + 2
(f -g)(x) = -x + 3
Question 2
(f • g)(x) = f(x) • g(x)
(f • g)(x) = (2x^2 + 3)(4x^3 + 1)
(f • g)(x) = 8x^5 + 2x^2 + 12x^3 + 3
(f • g)(x) = 8x^5 + 12x^3 + 2x^2 + 3
(f/g)(x) = f(x)/g(x)
(f/g)(x) = (2x^2 + 3)/(4x^3 + 1)...Do I stop here?
You say?
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All you did is right.
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All you did is right.
Looks good, feels good, all is good.
By the way, I am going through the entire College Algebra Edition 9 textbook by Michael Sullivan. It is a self-study of mathematics.
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