Question
Asked Sep 27, 2019

Can someone help me solve this problem?

h
14.
Find the difference quotient of f; that is, find
f(x + h) (h#0, for the following function.
h
(0eb
40
peu
f(x)= 4x+ 1
10
f(x + h)-f(x)
(Simplify your answer.)
h
whar
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h 14. Find the difference quotient of f; that is, find f(x + h) (h#0, for the following function. h (0eb 40 peu f(x)= 4x+ 1 10 f(x + h)-f(x) (Simplify your answer.) h whar https://xlitemprod.pearsoncmg.com/api/v1/print/math

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Expert Answer

Step 1

Firstly, we find f(x+h) by replacing x by x+h.

f(x)=-4x +
f(x+h)-4 (xh)+1=-4x- 4h+1
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f(x)=-4x + f(x+h)-4 (xh)+1=-4x- 4h+1

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Step 2

Now, we find differenc...

Г(*+h)-/(:) _(-4х-4h+1)-(-4х +1)
h
S(*+h)-/(х) _-4х - 4h +1+4х-1
h
h
Г(x+h)-г(х) -4h
=-4
h
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Г(*+h)-/(:) _(-4х-4h+1)-(-4х +1) h S(*+h)-/(х) _-4х - 4h +1+4х-1 h h Г(x+h)-г(х) -4h =-4 h

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