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
Answer:
m∠a = 60°
Step-by-step explanation:
Hi there,
Before answering this question, you should know that the sum of all the angles in a triangle will always be 180°. Therefore, we can write this equation to find the value of ∠a :
70° + 50° + m∠a = 180°
Solve for m∠a
120° + m∠a = 180°
m∠a = 60°
Hope this answer helps. Cheers.
Answer:
a = lw
Step-by-step explanation:
Answer:
Surface area of figure = 200.52 meter²
Step-by-step explanation:
Given:
Side of square cut = 12 meter
Diameter of semi circle = 12 meter
Find:
Surface area of figure
Computation:
Diameter of semi circle = 12 meter
Radius of semi circle = Diameter of semi circle / 2
Radius of semi circle = 12 / 2
Radius of semi circle = 6 meter
Surface area of figure = Surface area of square + Surface of cylinder
Surface area of figure = [Side x Side] + πr²/2
Surface area of figure = [12 x 12] + (3.14)(6)²/2
Surface area of figure = [144] + (3.14)(36)/2
Surface area of figure = 144 + 56.52
Surface area of figure = 200.52 meter²
Hello from MrBillDoesMath!
Answer: Choice D, 3 (x^2+1) + 2
Discussion:
f(g(x)) = f (x^2 + 1) * Note: I think that "x2" was meant to be x^2
= 3 * (x^2 +1) + 2 =
(3 x^2 + 3) + 2
Factor 3 from each term:
= 3 (x^2 _1) + 2
which is choice "d".
Thank you,
MrB
