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3 years ago

Fill in the rest of the table.

Mathematics

1 answer:

Vinvika [58]3 years ago

6 0

9514 1404 393

Answer:

top-down

f(g(x)) = 1, 4, 5, 3, 2

g(f(x)) = 5, 2, 4, 1, 3

Step-by-step explanation:

To find f(g(x)), locate g(x) in the third column (labeled g(x)). Use that value as x in the first column, then read f(x) from the second column.

Example: f(g(1)) = f(2) = 1

To find g(f(x)), locate f(x) in the second column (labeled f(x)). Use that value as x in the first column, and read the corresponding g(x) from the third column.

Example: g(f(1)) = g(2) = 5

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If f(x) = x2 + x - 8, find f(-3).

dalvyx [7]

Answer:

-17

Step-by-step explanation:

it's telling you to replace x with -3.

You have to replace all the x's with -3.

(-3)2 + (-3) - 8 = -17

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3 years ago

What is the complex number z=−3+3√3i represented in polar form?<br><br><br> z=____cis(____)

maks197457 [2]

Answer:

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos $\theta$ and y = rsin $\theta$

where r is the modulus of the complex number and $\theta$ is the argument, z in polar form is represented as:

z = rcos $\theta$ + rsin $\theta$

z = r(cos $\theta$ + isin $\theta$ )

z = rcis $\theta$

Given the complex number z=−3+3√3i

r = $\sqrt{x^{2}+y^{2} }$

$r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2} } \\r = \sqrt{9+27} \\r = \sqrt{36}\\ r = 6$

$argument\\\theta = arctan \frac{y}{x} \\\theta = arctan \frac{3\sqrt{3} }{-3} \\\theta = arctan {-\sqrt{3} } \\\theta = -60 \deg$

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

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4 years ago

Help me for 15 points

Setler79 [48]

Answer:

A. square.

B. rectangle.

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Step-by-step explanation:

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(in case you need to show work)

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