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!