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3 years ago

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (F g)(x)

Mathematics

2 answers:

laila [671]3 years ago

7 0

I think this attachment will help you

denis-greek [22]3 years ago

5 0

Answer:

domain will be ( -∞, ∞)

Step-by-step explanation:

The given functions are f(x) = x² - 1 and g(x) = 2x - 3

We have to find domain of (fog)(x)

We will find the function (fg)(x) first.

(fog)(x) = f[g(x)]

= (2x - 3)²

= 4x² + 9 - 12x - 1

= 4x² - 12x + 8

= 4 (x² - 3x + 2)

The given function is defined for all values of x.

Therefore, domain will be ( -∞, ∞)

You might be interested in

Trigonometry

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

For a triangle the area is

$A=\frac{1}{2}bh$

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4. If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4. To find the base, then, which is opposite the angle, we use the sin ratio:

$sin(20)=\frac{b}{4}$ and

4sin(20) = b so

b = 1.368

But we need the whole base, and that is only half of it. So

2b = 2.736

To find the height, which is adjacent to the angle, we use the cos ratio:

$cos(20)=\frac{h}{4}$ and

4cos(20) = h so

h = 3.759

Now we have enough info to find the area of the triangle using the triangle area formula from above:

$A=\frac{1}{2}(2.736)(3.759)$ and

A = 5 meters squared.

7 0

2 years ago

Which statements are true regarding the prism? Check all that apply

denis-greek [22]

What are the choices

8 0

3 years ago

The sales tax for an item was $24.50 and it cost $490 before tax.

Ymorist [56]

The sales tax rate is 5%.

Step-by-step explanation:

Given,

Sales tax for an item = $24.50

Cost of item before tax = $490

Sales tax rate = $\frac{Sales\ tax}{Cost\ of\ item}*100\\$

$Sales\ tax\ rate=\frac{24.50}{490}*100\\\\Sales\ tax\ rate=\frac{2450}{490}\\\\Sales\ tax\ rate=5\%$

The sales tax rate is 5%.

Keywords: sales tax, percentage

Learn more about percentages at:

#LearnwithBrainly

3 0

3 years ago

Calculate the average time the car took to reach each checkpoint. Record the average time in Table D of your Student Guide. The

zhuklara [117]

The average time the car took to reach each checkpoint are:

2.07
3.16
4.11
4.92

<h3>Average time</h3>

Given:

Time interval

1 2 3 4

2.02 3.17 4.12 4.93

2.05 3.07 3.98 4.81

2.15 3.25 4.23 5.01

Hence:

First quarter checkpoint

Average time= (2.02 + 2.05 + 2.15) / 3

Average time=6.22/3

Average time= 2.07s

Second quarter checkpoint

Average time= (3.17 +3.07 + 3.25) / 3

Average time=9.49/3

Average time = 3.16 s

Third quarter check point

Average time= (4.12 + 3.98 + 4.23) / 3

Average time=12.33/3

Average time= 4.11 s

Fourth quarter check point

Average time = (4.93 + 4.81 + 5.01) / 3

Average time=14.75/3

Average time= 4.917 s

Average time=4.92s (Approximately)

Therefore the average time the car took to reach each checkpoint are: 2.07, 3.16, 4.11, 4.92.

Learn more about average time here:brainly.com/question/19136062

#SPJ1

6 0

1 year ago

What’s the true statement

-Dominant- [34]

The answer to this question is d because 7 is in the ten-thousand's place and another 7 is in the thousand's place.

8 0

3 years ago