Question

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Answer 1

@IMStuck

Answer 2

I'm here! Let me look and we will do it together.

Answer 3

Take your d function and wherever you see an x, replace that x with the whole c function, like this:

Answer 4

c(x)=4x-2 d(x)=x^2+5x We want to find c(d(x)). The inner function is where you begin...ALWAYS. Wherever you see the x in the d function, replace it with the whole of the c function:\[(4x-2)^{2}+5(4x-2)\]

Answer 5

The d function has an x squared, so replace the x with 4x-2 and then you have to square it. D also has a 5x in it. Replace the x with 4x-2 and you get 5(4x-3)

Answer 6

(4x-2)(4x-2). Do that expansion first.

Answer 7

That comes to\[16x ^{2}-16x+4\]

Answer 8

16x^2- 16x+4

Answer 9

Now distribute the 5 into the 4x-2 to get...

Answer 10

5(4x-2)=?

Answer 11

20x-10

Answer 12

Good! Now we have this:

Answer 13

\[16x ^{2}-16x+4+20x-10\]Combine all the like terms and what is the end result?

Answer 14

4x+250 >.<