Question
Asked Nov 5, 2019
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f(x) = x2 + 3,    

f(6 + h) − f(6)
h

Evaluate the differene quiotent for the given fucntion and simplfy your answer. 

Evaluate the difference quotient for the given function. Simplify your answer.
f(6 h) f(6)
h
f(x) x2 3,
= X
X
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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

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Expert Answer

Step 1
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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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Step 2
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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

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Step 3

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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