ericakubie24 ericakubie24
  • 09-10-2017
  • Mathematics
contestada

If f(x)=x^2+3x+5 what is f(3+h) ?

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mergl
mergl mergl
  • 09-10-2017
f(x)=x^2+3x+5
f(3+h)=(3+h)^2+3(3+h)+5
f(3+h)=9+6h+h^2+9+3h+5
f(3+h)=23+9h+h^2
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jimthompson5910 jimthompson5910
  • 09-10-2017
f(x) = x^2 + 3x + 5
f(3+h) = (3+h)^2 + 3(3+h) + 5 ... replace every x with 3+h
f(3+h) = (3+h)(3+h) + 3(3+h) + 5
f(3+h) = (3^2+2*3*h+h^2) + (3*3+3*h) + 5
f(3+h) = (9+6h+h^2) + (9+3h) + 5
f(3+h) = 9+6h+h^2 + 9+3h + 5
f(3+h) = h^2 + (6h+3h) + (9+9+5)
f(3+h) = h^2+9h+23

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