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Anit [1.1K]
3 years ago
9

Find (F/g)(x) F(x) = sqrt x^2-1 g(x) sqrt x-1

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

Option A. √(x + 1)

Step-by-step explanation:

Data obtained from the question include:

f(x) = √(x² – 1)

g(x) = √(x – 1)

(f/g) (x) =..?

(x² – 1) => difference of two square

(x² – 1) => (x – 1)(x + 1)

f(x) = √(x² – 1)

f(x) = √(x – 1)(x + 1)

(f/g) (x) = f(x) /g(x)

f(x) = √(x – 1)(x + 1)

g(x) = √(x – 1)

(f/g) (x) = √(x – 1)(x + 1) / √(x – 1)

(f/g) (x) = √[(x – 1)(x + 1) / (x – 1)]

(f/g) (x) = √(x + 1)

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2x(X-5)+6=24 X=numar necunoscut
finlep [7]

Answer:

2x² + 6 = 34x

Step-by-step explanation:

2x² - 10x + 6 = 24x

Collect like terms

2x² + 6 = 24x + 10x

2x² + 6 = 34x

5 0
3 years ago
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 33 books. There are 1,221 myster
kvasek [131]

Answer:

37

Step-by-step explanation:

Landon is building new bookshelves for his book store

Each shelf can hold 33 books

There are 1221 mystery books

Therefore the number of shelves he will need to build can be calculated as follows

= 1221/33

= 37

Hence Landon will need to build 37 shelves

6 0
2 years ago
How do you graph the function f(x)=−1/4x−2?
Georgia [21]
Welll the y-intercept is negative 2 so on the y axis the first point is negative 2. 1/4 is the rise over run so you would go up from your first point one unit and over to the left four units or vise versa down one unit and over to the right four units, or the image

4 0
3 years ago
A rose garden Is formed by jolning a rectangle and a semicircle, as shown below. The rectangle Is 23 ft long and 14 ft wide.Find
Ratling [72]

Answer:

Area of the garden:

\begin{equation*} 398.93\text{ ft}^2 \end{equation*}

Explanation:

Given the below parameters;

Length of the rectangle(l) = 23 ft

Width of the rectangle(w) = 14 ft

Value of pi = 3.14

Since the width of the rectangle is 14 ft, so the diameter(d) of the semicircle is also 14 ft.

The radius(r) of the semicircle will now be;

r=\frac{d}{2}=\frac{14}{2}=7\text{ ft}

Let's now go ahead and determine the area of the semicircle using the below formula;

A_{sc}=\frac{\pi r^2}{2}=\frac{3.14*\left(7\right)^2}{2}=\frac{3.14*49}{2}=\frac{153.86}{2}=76.93\text{ ft}^2

Let's also determine the area of the rectangle;

A_r=l*w=23*14=322\text{ ft}^2

We can now determine the area of the garden by adding the area of the semicircle and that of the rectangle together;

\begin{gathered} Area\text{ of the garden = Area of semi circle + Area of rectangle } \\ =76.93+322 \\ =398.93\text{ ft}^2 \end{gathered}

Therefore, the area of the garden is 398.93 ft^2

8 0
1 year ago
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Mice21 [21]

Answer:

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