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xeze [42]
3 years ago
14

Let f(x) = -6x + 3 and g(x) = 5x + 4. Find fg and state its domain.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
7 0

Answer:

f(g(x))=-30x-21

The domain is all real numbers

Step-by-step explanation:

we have

f(x)=-6x+3

g(x)=5x+4

we know that

(fog)(x)=f(g(x))

In the function f(x) substitute the variable x by the function g(x)

so

f(g(x))=-6(5x+4)+3

f(g(x))=-30x-24+3

f(g(x))=-30x-21

This is a linear function (equation of a line)

The domain is all real numbers

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What is this number in standard form?
attashe74 [19]

The number (7×100)+(4×1/100)+(8×1/1,000) in standard form is 7.0048 × 10²

<h3>How to write number in standard form?</h3>

The number can be represented in standard form as follows:

(7 × 100) + (4 × 1/100)+(8 × 1/1,000)

Therefore,

7 × 100 = 700 = 7 × 10²

4 × 1/100 = 4 × 10⁻²

8 × 1/1,000 = 8 × 10⁻³

Therefore,

7 × 10² + 4 × 10⁻² + 8 × 10⁻³ = 700.048 = 7.0048 × 10²

learn more on standard form here: brainly.com/question/22649174

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6 0
2 years ago
Which is equal to -(4 - 5)2 + 1?
DiKsa [7]

Answer:

It is equal to 3

Step-by-step explanation:

Follow PEMDAS to find the answer

Parenthasis first

- ( -1 ) * 2 + 1

No exponents

Multiplication ( left to right)

1 * 2 + 1

2 + 1

No division

Addition

3

No subtraction

At the end, you get 3

4 0
3 years ago
Read 2 more answers
I HAVE LOTS OF POINTS COMING FOR THE END OF ALL MY QUESTIONS SO PLEASE HELP OUT
Irina18 [472]

Answer:

1/5

Step-by-step explanation:

I think you go to the number 1 on the bottom and you go up 5 and there's your answer?

7 0
3 years ago
Read 2 more answers
The popular candy Skittles comes in five colors. According to the Skittles website, the five colors are evenly distributed in th
Firdavs [7]

Answer:

No, this result is not surprising. It is a little bit more than one standard deviation above 20%

Step-by-step explanation:

Proportion of each color in the population (p) = 0.20

Sample size (n) = 20 Skittles

The standard deviation of a sampling distribution is determined by:

\sigma = \sqrt{\frac{p*(1-p)}{n}}\\\sigma = \sqrt{\frac{0.20*(1-0.20)}{20}}\\ \sigma =0.089

The difference between the observed proportion of 0.30, and the mean proportion of 0.20 is 0.10, which is just a little bit more than one standard deviation of 0.089. Therefore, this result is not surprising since it is a little bit more than one standard deviation above 20%.

4 0
3 years ago
The graph shows the relationship between the total cost and the number of erasers bought at the student store. Which statement i
hjlf

The graph shows the relationship between the total cost. The true statement is

Seven erasers cost $3.50. Option D

This is further explained below.

<h3>The graph shows the relationship between the total cost and the number of erasers bought at the student store. Which statement is true?</h3>

Generally, A cost is the worth of the money that has been spent in the process of producing something or delivering a service, and as a result, it is no longer accessible for use.

This concept is utilized in manufacturing, research, retail, and accounting. In the world of business, a cost may refer to a purchase, in which case the sum of money spent on the item in question is considered to be the cost of the item.

In conclusion, each eraser will cost u 50 cents

so 7 erasers will cost (7 * 0.50) = 3.50

Read more about costs

brainly.com/question/15135554

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6 0
2 years ago
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