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soldier1979 [14.2K]
3 years ago
15

If f(x) = 3x2 and g(x) = x+2, find (f•g)(x).

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

Since you have provided me with • symbol I must assume it's about function multiplication, but since standard keyboard doesn't have the function composition symbol \circ I must assume you meant either.

1. Case you meant multiplication.

(f\cdot g)(x)=3x^2\cdot(x+2)=\boxed{3x^3+6x^2}

2. Case you meant composition.

(f\circ g)(x)=f(g(x))=f(x+2)=3(x+2)^2=\boxed{3x^2+12x+12}

Hope this helps. Next time please use LaTeX to format your equations so that others can give you answers as well.

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Solve 20 - x/3 = x/2 , put the number only in the box.
Nikitich [7]

Answer:

<h2>x = 24</h2>

Step-by-step explanation:

20 -  \frac{x}{3}  =  \frac{x}{2}

Multiply through by the LCM that's 6 in order to eliminate the fraction

That's

6 \times 20 - 6 \times  \frac{x}{3}  = 6 \times  \frac{x}{2}  \\ 120 - 2x = 3x

Using the addition property add 2x to both sides of the equation

That's

3x + 2x = 120 + 2x - 2x \\ 5x = 120

<u>Divide both sides by 5</u>

\frac{5x}{5}  =  \frac{120}{5}

We have the final answer as

<h3>x = 24</h3>

Hope this helps you

4 0
3 years ago
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7+<br> 2-<br> 3+<br> 3-<br> -<br> 7+<br> 1-<br> 4
saveliy_v [14]

Answer:-15

Step-by-step explanation:

6 0
3 years ago
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Louie is trying to find a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the
sweet-ann [11.9K]

The height of the canvas according to tangent is 14 inches.

According to the statement

we have given that the a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the diagonal of the canvas.

And we have to find the height of the canvas.

So, For this purpose,

The given information is:

The 35⁰ angle is part of a right triangle with a side of 20 inches.  The tangent of this angle (35⁰) is equal to the opposite side, x, over the adjacent side (20 inches).

Tan (35⁰) = x/20

0.7002 = x/20

x = 14.004 inches.

For more understanding of the statement please see the image below.

So, The height of the canvas according to tangent is 14 inches.

Learn more about tangent here

brainly.com/question/17040970

#SPJ4

8 0
1 year ago
Find the value of x so that the function has the given value F(×)=6;f(×)=-24
Romashka [77]
I’m pretty sure this is wrong but 12 *-2
6 0
3 years ago
Can someone please help me with this?
vivado [14]

Answer:

Step-by-step explanation:

As we can see it is a right angled triangle so

hypotenuse (h) = 14 . 7 km

perpendicular (p) = 11.9 km

base (b) = x

Now by using Pythagoras theorem

b^{2} = h^{2} - p ^{2}

b^{2} = 14.7^{2} - 11.9^{2}

b^{2} = 216.09 - 141.61

b^{2} = 74.48\\b = \sqrt{74.48} \\b = 8.63 km

Hope  it was helpful.:)

3 0
3 years ago
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