Find the difference quotient of f, that is, find (f(x+h)−f(x))/h , h≠0, for each function. Be sure to simplify. f(x) = 1/(x+3)

Reeves

Reeves

Answered question

2021-01-19

Find the difference quotient of f, that is, find f(x+h)f(x)h,h0, for each function. Be sure to simplify. f(x)=1x+3

Answer & Explanation

oppturf

oppturf

Skilled2021-01-20Added 94 answers

f(x)=1x+3
f(x+h)f(x))h=1x+h+31x+3h=x+3(x+3+h)(x+h+3)(x+3)h=(x+3x3h(x+h+3)(x+3))(1h)=(h(x+h+3)(x+3))(1h)=1(x+h+3)(x+3)
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