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)

You might be interested in

The sum of two numbers is 76 and their difference is 52. Find the two numbers.<br> Please explain

Yanka [14]

Step-by-step explanation:

hope it helps first find one number and then multiply one number by 2

6 0

2 years ago

The area of a rectangular rug in Monica's living room is 212.5 square feet. If the length of the rug is 17 feet, what is the wid

LuckyWell [14K]

A rectangle’s area is width x height. So plug in what you know and solve. 212.5 = w x 17. To solve 212.5/17= 12.5. So the width must be 12.5.

5 0

3 years ago

Evaluate the integral by interpreting it in terms of areas Draw a picture of the region the integral

denis23 [38]

Answer:

Step-by-step explanation:

The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.

For the integral from [0, 2], the equation of the line is -3x + 6;

For the integral from [2, 3], the equation of the line is 3x - 6.

We integrate then:

$\int\limits^2_0 {-3x+6} \, dx+\int\limits^3_2 {3x-6} \, dx$ and

$-\frac{3x^2}{2}+6x\left \} {{2} \atop {0}} \right. +\frac{3x^2}{2}-6x\left \} {{3} \atop {2}} \right.$ sorry for the odd representation; that's as good as it gets here!