Latasha S.
asked • 04/11/24math problem help
For the function f(x)=5x−6, evaluate and simplify.
f(x+h)−f(x)/h =
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1 Expert Answer
Raymond B. answered • 04/11/24
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Math, microeconomics or criminal justice
f(x)=5x-6
f(x+h) = 5(x+h)-6 = 5x+5h -6
f(x+h) - f(x) = 5x+5h-6 -(5x-6) = 5x +5h-6 -5x +6=5h
(f(x+h)-f(x))/h = 5h/h = 5
this exercise is an introduction to the concept of a derivative or differential calculus
f'(x)= 5 = the slope of the line f(x)=y=5x+6
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Alexa P.
Evaluate f(x+h)=5(x+h)-6=5x-6 Evaluate f(x)=5x-6 Subtract f(x+h) from f(x)-f(x+h)-f(x)=(5x+h-6)-(5x-6)=5h Divide result by h-f(x+h)-f(x)/h=5h/h=5 The simplified expression is 504/11/24