Question
Asked Oct 30, 2019
Compute the following for the function defined below. Simplify your answers. Note: Use lowercase letters in your answers.
1
f(x)
4x 9
1
(a)
f(x+h)
4x 4h9
(b)
f(x+h) f(x)
f(x h) f(x):
h
(c)
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Compute the following for the function defined below. Simplify your answers. Note: Use lowercase letters in your answers. 1 f(x) 4x 9 1 (a) f(x+h) 4x 4h9 (b) f(x+h) f(x) f(x h) f(x): h (c)

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Step 1

1
f(x+h)
4(x+h)+9
1
4x4h9
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1 f(x+h) 4(x+h)+9 1 4x4h9

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Step 2

...
1
1
f(x+h)-f(x)
4х + 4h +9
4х +9
4х +9—4х—4h - 9
(4х + 4h +9)(4x +9)
-4h
(4x+4h+9)(4x+9)
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1 1 f(x+h)-f(x) 4х + 4h +9 4х +9 4х +9—4х—4h - 9 (4х + 4h +9)(4x +9) -4h (4x+4h+9)(4x+9)

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