document.write( "Question 972417: If f ′(x) = −7 x−3 and f(0) = −5, find f(x).\r
\n" ); document.write( "\n" ); document.write( "I think I get the basic, but can someone explain with steps? \n" ); document.write( "

Algebra.Com's Answer #594748 by nerdybill(7384) $\"\"$ $\"About$

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If f'(x) = −7 x−3 and f(0) = −5, find f(x)
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\n" ); document.write( "Start by finding the \"indefinite integral\" of
\n" ); document.write( "f'(x) = −7 x−3
\n" ); document.write( "f(x) = (-7/2)x^2 - 3x + C
\n" ); document.write( "now we use f(0)=-5 to find C
\n" ); document.write( "-5 = (-7/2)(0)^2 - 3(0) + C
\n" ); document.write( "-5 = C
\n" ); document.write( "therefore:
\n" ); document.write( "f(x) = (-7/2)x^2 - 3x - 5 \n" ); document.write( "

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