Functions
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Consider the function f(x) = 3x^2-5x+7
(a) What is f(4)?
(b) What is f(a+2)?
(c) What is f(x+h)?
(d) What is f(x+h)-f(x)?
(e) What is (f(x+h) â?" f(x))/h?
(f) What is lim as h approaches 0 of (f(x+h) â?" f(x))/h?
(g) What is f prime of (x).
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This posting contains the solution to the given functions problems.
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a. f(4) = 3(4)^2 - 5(4) + 7 = 35
b. f(a+2) = 3(a+2)^2 - 5(a+2) + 7
f(a+2) = 3(a^2+4a+4) - 5a - 10 + 7
f(a+2) = 3a^2 + 7a + 9
c. f(x+h) = ...
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