All categories

2 years ago

If f(x) = x2 - 1 and g(x) = 2x - 3, what is the domain of (fog)(x)?

Mathematics

1 answer:

ladessa [460]2 years ago

4 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 ( -∞, ∞)

<u>brainly.com/question/2458431</u>

You might be interested in

Write as a Improper fraction

Likurg_2 [28]

38/9
46/7
44/5
11/4
19/2
11/6
23/3
41/8
52/7
34/5

8 0

3 years ago

Read 2 more answers

A store pays $72 for a crystal vase. The store marks up the price by 50%. What is the amount of the mark-up?

Assoli18 [71]

Answer:

$36.00 markup

Step-by-step explanation:

$72 x 50% (0.50) = $36.00

5 0

3 years ago

The diameter of the base of the cone measures 8 units.

kati45 [8]

Answer: $32\pi$ cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

$V_{cone}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

$r=\frac{8units}{2}\\\\r=4units$

Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:

$V_{cone}=\frac{1}{3}\pi (4units)^2(6units)$

$V_{cone}=32\pi \ units^3$

8 0

3 years ago

Given: △PST, Area of △PST=71.24 PS=15, Pt=13 Find: m∠P (Please help!!!)

Lunna [17]

Answer:

46.94 degrees (approx)

Step-by-step explanation:

6 0

3 years ago

Mark's computer weighs 35.769 pounds. What is the weight of his computer rounded to the nearest hundredth?

Lana71 [14]

Answer:

1486.38

Step-by-step explanation:

if the number is 5 and above you round up, below 5 stays the same or it can be rounded down

4 0

3 years ago