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November 12th, 2016, 06:43 AM   #1
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Functional misunderstanding

Hi guys I'm just struggling with a few things in my maths revision. Wondering if one of you geniuses could give me a kick in the right direction.

Given the function f(t) = 2t^2 + 4 find

1. f(4x+2)

f(4x + 2) = 2(4x + 2)^2 + 4
= 2(16x^2 + 16x + 4) + 4

= 32x^2 + 32x + 8 + 4 = 32x^2 + 32x + 12

Ok so look at the first line of the answer - replacing the fuction t with the new function... all good.

But this second line = 2(16x^2 + 16x + 4) + 4

Where is this second.................. 16x coming from?

Sorry I'm obviously missing something silly guys.

Last edited by Kevineamon; November 12th, 2016 at 06:53 AM.
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November 12th, 2016, 07:13 AM   #2
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$$(4x+2)(4x+2)=16x^2+8x+8x+4=16x^2+16x+4$$

See?
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November 12th, 2016, 07:17 AM   #3
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Doh!!!

Lol thanx Greg
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November 12th, 2016, 07:17 AM   #4
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Btw your signature is most applicable
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