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Natalka [10]
3 years ago
8

please help me, im stuck and i do not understand what i need to do, answer the question in the picture please

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

x = - \frac{1}{4}

Step-by-step explanation:

To find f(g(x)) substitute x = g(x) into f(x), that is

f(g(x))

= f(x + 1)

= 2(x + 1)² ← expand using FOIL

= 2(x² + 2x + 1) ← distribute

= 2x² + 4x + 2

To find g(f(x)) substitute x = f(x) into g(x), that is

g(f(x))

= g(2x²)

= 2x² + 1

----------------------------------------------------------

Equating  gives

2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )

4x + 1 = 0 ( subtract 1 from both sides )

4x = - 1 ( divide both sides by 4 )

x = - \frac{1}{4}

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Scrat [10]

Answer:

\text{Area of the figure}=54\text{ unit}^2

Step-by-step explanation:

Please find the attachment.

Let us divide our given image in several parts and then we will find area of different parts.

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\text{Area of rectangle}=\text{Length*Width}

\text{Area of red rectangle part}=6\text{ units}\times 7\text{ units}

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Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.

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Let us find the area of green triangle.

\text{Area of green triangle}=\frac{1}{2}\times \text{3 units *2 units}

\text{Area of green triangle}=3\text{ unit}^2

Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.

\text{Area of blue triangle}=\frac{1}{2}\times \text{6 units *2 units}

\text{Area of blue triangle}=6\text{ units}^2

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\text{Area of the figure}=42\text{ units}^2+3\text{ unit}^2+3\text{ unit}^2+6\text{ unit}^2

\text{Area of the figure}=(42+3+3+6)\text{ unit}^2

\text{Area of the figure}=54\text{ unit}^2

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