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2 years ago

Find the domain and range of the following function ƒ(x) = 3|x + 7| - 2?

Mathematics

1 answer:

ad-work [718]2 years ago

4 0

The domain is all real numbers OR (- infinity, infinity)

The range is y>= -2 OR
(-2, infinity)

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Which equation describes the graph? (In the photo)

maw [93]

Answer:

C. The slope is 3 and the y-intercept is -3

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2 years ago

Solve for x -9<4x+3<27 enter your answer as one inequality in the box

ludmilkaskok [199]

If a< c< b then a<c and c<b

Separate the equation into 2 separate ones and solve them:

X-9 < 4x +3

Subtract 3 from both sides:

X-12 < 4x

Subtract x from both sides:

-12< 3x

Divide both sides by 3:

X > -4

4x+3 < 27

Subtract 3 from both sides

4x < 24

Divide both sides by 4

X <6

Combine to get one inequality:

-4<x<6

6 0

2 years ago

Yooo help plz :) ASAP ASAP ASAP

german

The 3rd one
You can factor 3 out of each term in the numerator. And then divide it by the 3 in the denominator.

3 0

2 years ago

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If 8 boards are stacked on top of each other and each board is 2 1/4 inches thick, how high is the stack?

Zepler [3.9K]

8 x 2 1/4 = 18

the stack is 18 in. thick.

Hope this helps!!
~Kiwi

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2 years ago

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Which of the following is the inverse of y=3x?

shtirl [24]

Answer-

The inverse of $y=3^x$ is

$\boxed{\boxed{y=\log_3 x}}$

Solution-

The given function is,

$y=3^x$

We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.

So in the inverse would be,

$\Rightarrow x=3^y$

Taking log of both sides,

$\Rightarrow \log x=\log 3^y$

As,

$\log a^b=b\times \log a$

Applying the same,

$\Rightarrow \log x=y\times \log 3$

$\Rightarrow y=\dfrac{\log x}{\log 3}$

As,

$\log_b a=\dfrac{\log a}{\log b}$

Applying the same,

$\Rightarrow y=\log_3 x$

Therefore, the inverse of $y=3^x$ is $y=\log_3 x$ .

7 0

2 years ago

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