If f (x) = x^2-x and g (x) = 1/x and h (x) is defined with the expressions below, arrange the values of h' (1) from smallest to largest. 1) h (x) = f (x) - g (x) 2) h (x) = f (x) g (x) 3) h (x) = f (g (x))

Question

Advanced Placement (AP)

Judah Johns

19 September, 17:48

If f (x) = x^2-x and g (x) = 1/x and h (x) is defined with the expressions below, arrange the values of h' (1) from smallest to largest. 1) h (x) = f (x) - g (x) 2) h (x) = f (x) g (x) 3) h (x) = f (g (x))

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Moody · Answer 1

F (x) = x²-x

g (x) = 1/x

1) h (x) = f (x) - g (x) = (x²-x) - (1/x) = (x³-x²) / x (x≠0) = >

2) h (x) = f (x). g (x) = (x²-x). (1/x) = x (x²-1)

3) h (x) = f (g (x)) = (1/x) ² - (1/x)