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f(x+h)-f(x)Simplify the difference quotientfor the given function.f(x) 4x2-5x+5

Question

Asked Nov 2, 2019

f(x+h)-f(x)
Simplify the difference quotient
for the given function.
f(x) 4x2-5x+5 — Image Transcription
f(x+h)-f(x) Simplify the difference quotient for the given function. f(x) 4x2-5x+5

Expert Solution

Step 1

First find f(x+h).

Replace x by ...

f(x) 4x2-5x+5
f(x+h) 4(x+h)-5(x+h)+5
f(x+h) 4(x2+2xh+h2)-5x-5h+5
f(x+h) 4x2+8xh+4h2-5x-5h+5 — Image Transcription
f(x) 4x2-5x+5 f(x+h) 4(x+h)-5(x+h)+5 f(x+h) 4(x2+2xh+h2)-5x-5h+5 f(x+h) 4x2+8xh+4h2-5x-5h+5

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