SOLUTION: Find and simplify each of the following for f(x) = 5x - 2
a) f(x + h)
b) f(x + h) - f(x)
c) f(x + h) - f(x) over h
Can you please explain me this homework question by sh
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-> SOLUTION: Find and simplify each of the following for f(x) = 5x - 2
a) f(x + h)
b) f(x + h) - f(x)
c) f(x + h) - f(x) over h
Can you please explain me this homework question by sh
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Question 1203551: Find and simplify each of the following for f(x) = 5x - 2
a) f(x + h)
b) f(x + h) - f(x)
c) f(x + h) - f(x) over h
Can you please explain me this homework question by showing me the steps? Thank you! Found 2 solutions by josgarithmetic, MathLover1:Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website! The function at some point is different from the function at some point very very near to the function at that first point; this difference in function values is then divided by the small difference in the input values. You are looking for the rate of change of a function.
What you want to do is let the "h" become increasingly small. What is the result for ?
Try that for your given function .
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f(x)=5x-2
Subtracting that from f(x):
This found difference is to be used, "over h", meaning h as a denominator:
simplify this.
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