What is #f(x) = int x - 3 # if #f(2)=3 #?

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Answer 1 · 2016-10-15T10:23:23

#f(x)=(x^2)/2-3x+7#

#f(x)=intx-3 dx#

#=(x^2)/2-3x+c#

Subbing in 2,

#f(2)=((2)^2)/2-3(2)+c=2-6+c=-4+c#

Since #f(2)=3#,

#-4+c=3#

#c=7#

#:.f(x)=(x^2)/2-3x+7#