viktoria1198zz viktoria1198zz
  • 24-09-2018
  • Mathematics
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10 POINTS!The function P(x) = 3x2 + 4x + 5,is dilated by the function I(x) = P(2x). Write the new function I(x).

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sid071
sid071 sid071
  • 24-09-2018

Hey there!!!

Equation given :

p ( x ) =  3x² + 4x + 5

Find p ( 2x )

In order to solve this, we will have to substitute the value 2x instead of x

Hence,

... p ( 2x ) = 3 ( 2x )² + 4 ( 2x ) + 5

... p ( 2x ) = 3 ( 8x² ) + 8x + 5

... p ( 2x ) = 24x² + 8x + 5

As we know I ( x ) = p ( 2x )

The value of  I(x) = 24x² + 8x + 5

Hope my answer helps!


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