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Social ScienceEvaluate the difference quotient for the given function. Simplify your answer.f(6 h) f(6)hf(x) x2 3,= XXSubmit Answer
f(x) = x2 + 3,
| f(6 + h) − f(6) |
| h |
Evaluate the differene quiotent for the given fucntion and simplfy your answer.
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Evaluate the difference quotient for the given function. Simplify your answer. f(6 h) f(6) h f(x) x2 3, = X X Submit Answer
Expert Answer
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We have given the function f (x)=x2+3 f(x+h)-f(x) h The difference quotient of a function f(x) is defined as
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Substitute 6 for x to find f (6). f(6) 62+3 36+3=39 Now substitute (6+h) for x to findf (6+h) f(6+h) (6+h)2+3 =h2 +36+12h+3 =h2 +12h+ 39
Thus the difference quotient fo...
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f(6+h)-f(6) h+12h+39-39 h h h2+12h h h(h+12) =h+ 12
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