1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frozen [14]
2 years ago
5

Please help I don’t understand this

Mathematics
1 answer:
enyata [817]2 years ago
4 0

Answer:

  d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

  \displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}

At this point, you're supposed to know the factoring of the difference of squares:

  \displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}

You might be interested in
Translate the sentence into an equation. The sum of 3 times a number and 7 is 19.
klemol [59]
D. Because you're multiplying 3 by a number which is what the variable represents (n), then you're just adding 7 to that which equals 19 all together. It all translates to 3n+7=19.

7 0
3 years ago
Please help me I need the answer
IceJOKER [234]

Answer:

hola.................

6 0
3 years ago
Brittany removed half of the total number of marbles from her bag, and gave one fourth of the remaining marbles to her friend. W
patriot [66]

The fraction of the total number of marbles is left in the bag after removing and giving part to her friend is 3/8

<h3>Fraction</h3>

let

  • Number of marbles in her bag = x
  • Number of marbles removed from her bag = 1/2x

Remaining marbles = x - 1/2x

= (2x-x) / 2

= x/2

= 1/2x

Number of marbles given to her friend = 1/4 of 1/2x

= 1/4 × 1/2x

= 1/8x

Number of marbles left in the bag = Remaining marbles - Number of marbles given to her friend

= 1/2x - 1/8x

= (4x-x) / 8

= 3x/8

= 3/8x

Learn more about fraction:

brainly.com/question/11562149

#SPJ1

3 0
1 year ago
ohn needs to serve some beer to a customer. At first he ordered 1 pint then he added 4 ounces more, then he decided to add 1/4 t
Sholpan [36]

Answer:

the answer to this question 2 cups

Step-by-step explanation:

2 cups is equal to a pint

7 0
3 years ago
What is the equation of a circle with center (-3, -1) that contains the point (1, 2)?
Leno4ka [110]
So, we know the center is at -3,-1, ok

hmmm what's the radius anyway?   well, we know that there's a point at 1,2 that is on the circle's path...hmmmm what's the distance from the center to that point?  well, is the radius, let's check then.

\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;&({{ -3}}\quad ,&{{ -1}})\quad &#10;%  (c,d)&#10;&({{ 1}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;r=\sqrt{[1-(-3)]^2+[2-(-1)]^2}\implies r=\sqrt{(1+3)^2+(2+1)^2}&#10;\\\\\\&#10;r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5

so, what's the equation of a circle with center at -3, -1 and a radius of 5?

\bf \textit{equation of a circle}\\\\ &#10;(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2&#10;\qquad &#10;\begin{array}{lllll}&#10;center\ (&{{ h}},&{{\quad  k}})\qquad &#10;radius=&{{ r}}\\&#10;&-3&-1&5&#10;\end{array} &#10;\\\\\\\&#10;[x-(-3)]^2+[y-(-1)]^2=5^2\implies (x+3)^2+(y+1)^2=25
7 0
3 years ago
Other questions:
  • 30 POINTS!! WILL VOTE BRAINIEST
    5·1 answer
  • Graph △XYZ with vertices X(2, 3), Y(−3, 2), and Z(−4,−3) and its image after the translation (x, y)→(x+3, y−1)
    13·1 answer
  • A woman leaves home 7:00am and drives to o new york city 200 miles away.if she average 50 miles per hour,what time will she arri
    14·2 answers
  • Whats the reciprocal of 5.87*10^4
    6·1 answer
  • The University of Arkansas recently approved out of state tuition discounts for high school students from any state. The student
    6·1 answer
  • Can anyone explain to me why I got this wrong
    15·1 answer
  • What is the main intent of this report? to explain the services of Fast Pax to convince people to ship using Fast Pax to convinc
    15·2 answers
  • Solve for x in the diagram below.<br> (2 +40)<br> 60°
    12·2 answers
  • The slope of the lawn and passing through the points (1,3) and (5,13)
    10·1 answer
  • The correct equation that goes through the point (3, 4) and is parallel to the line y=2x+1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!