Question

Can you solve this and please show work so I can understand it thank you:)

Answer 1

Hello.

There are 2 basic steps to this particular problem:

1). Plug g(x) into f(x).

2). Simplify.

Step by step:

1).

f(x)= 2 |x+3| -1

g(x)= -4x² -9

So:

f(g(x))= 2 | (g(x)) +3 | -1 ***

f(g(x))= 2 | (-4x² -9)+3 | -1

f (g(x))= 2 | -4x² -9+3 | -1

f (g(x))= 2 | -4x² -6 | -1

*** This is to illustrate how plugging functions into functions works, and is not proper notation.

Hope this helped!

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Disclaimer:

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