Question

Please help me out. Answer quick

Answer 1

Answer: See below

Step-by-step explanation:

1. (fоg)(x) means f of g(x). You would plug in g(x) into f(x).

(fоg)(x)=3(4x²-5)-3

(fоg)(x)=12x²-15-3

(fоg)(x)=12x²-18

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2. (gоf)(x) means g of f(x). You would plug in f(x) into g(x).

(gоf)(x)=4(3x-3)²-5

(gоf)(x)=4(9x²-18x+9)-5

(gоf)(x)=36x²-72x+36-5

(gоf)(x)=36x²-72x+31

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3. (fоg)(0) means f of g(0). You would plug in g(0) into f(x).

(fоg)(0)=3(-5)-3

(fоg)(0)=-15-3

(fоg)(0)=-18

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4. (gоf)(0) means g of f(0). You would plug in f(0) into g(x).

(gоf)(0)=4(-3)²-5

(gоf)(0)=4(9)-5

(gоf)(0)=36-5

(gоf)(0)=31