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Function Composition
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Problem 7
Function Composition
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3. Functions & Graphs / Function Composition / Problem 7
Problem 7
Solve for f(x + h), f(x + h) - f(x), and [f(x + h) - f(x)]/h for the following function.
f(x) = 2/x
2
A
f(x + h) = 2/(x + h)
2
, f(x + h) - f(x) = [h(-2x - 2h)]/[x
2
(x + h)
2
], and [f(x + h) - f(x)]/h = (-4x - 2h)/[x
2
(x + h)
2
]
B
f(x + h) = 2/(x + h)
2
, f(x + h) - f(x) = [h(-4x - 2h)]/[x
2
(x + h)
2
], and [f(x + h) - f(x)]/h = (-4x - 2h)/[x
2
(x + h)
2
]
C
f(x + h) = 2/(x + h)
2
, f(x + h) - f(x) = [h(-4x + 2h)]/[x
2
(x + h)
2
], and [f(x + h) - f(x)]/h = (-4x - 2h)/[x
2
(x + h)
2
]
D
f(x + h) = 2/(x + h)
2
, f(x + h) - f(x) = [h(-4x - 2h)]/[x
2
(x + h)
2
], and [f(x + h) - f(x)]/h = (-4x + 2h)/[x
2
(x + h)
2
]
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