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
LiRa [457]
2 years ago
11

Find (f o g)(x) Consider f(x) = x + 7 and g(x) = x2 –1

Mathematics
1 answer:
natima [27]2 years ago
3 0
<h3>Answer:  x^2 + 6</h3>

Work Shown:

(f o g)(x) = f(g(x))

f(x) = x + 7

f( g(x) ) = g(x) + 7 ... replace every x with g(x)

f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1

f( g(x) ) = x^2 + 6

(f o g)(x) = x^2 + 6

You might be interested in
Choose the notation below that describes the translation."
Yuliya22 [10]

Answer: (x, y) to (x - 3, y - 4)

Step-by-step explanation: i guessed

6 0
3 years ago
Read 2 more answers
The contagent of 180/3,180/4,180/6 is
just olya [345]

Answer:

easy

Step-by-step explanation:

1+2=92

4 0
3 years ago
Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from th
xeze [42]

Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

P:(x - 1)^2 + (y + 6)^2 = 9

Q:(x + 4)^2 + (y + 14)^2 = 4

Solving (a): The distance between both

The equation of a circle is:

(x - h)^2 + (y - k)^2 = r^2

Where

Center: (h,k)

Radius:r

P and Q can be rewritten as:

P:(x - 1)^2 + (y + 6)^2 = 3^2

Q:(x + 4)^2 + (y + 14)^2 = 2^2

So, for P:

Center = (1,-6)

r = 3

For Q:

Center = (-4,-14)

r = 2

The distance between them is:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2

Where:

Center = (1,-6) --- (x_1,y_1)

Center = (-4,-14) --- (x_2,y_2)

So:

d = \sqrt{(1 - -4)^2 + (-6 - -14)^2

d = \sqrt{(5)^2 + (8)^2

d = \sqrt{25 + 64

d = \sqrt{89

d = 9.4

Solving (b): The radius;

In (a), we have:

r = 3 --- circle P

r = 2 --- circle Q

By comparison

2 < 3

<em>Hence, circle Q has a smaller radius</em>

4 0
2 years ago
Under his cell phone plan, Henry pays a flat cost of $63.50 per month and $5 per gigabyte. He wants to keep his bill at $77.50 p
Murrr4er [49]

Answer:

2

Step-by-step explanation:

77.50 - 63.50 = 14

per gigabyte $5 + 5 =10

so answer is 2

3 0
2 years ago
Lilly owes $52,000 in student loans for college. If the loan will be repaid in 5.5 years and the interest rate charged is 6.75%,
Novay_Z [31]
An = P(1 + r)^n
An = 52000(1 + 6.75/100)^5.5 = 52000(1.0675)^5.5 = $74,477.78

3 0
3 years ago
Other questions:
  • Find the circumference and the area of a circle with diameter 2 yd . Use the value for 3.14 for , and do not round your answers.
    15·1 answer
  • Homework help!<br> Pls answer the question below<br> |<br> |<br> |<br> v
    8·2 answers
  • What is the distance between -3 and 12?
    9·1 answer
  • if the intercept made on the line y=mx by the lines x=2 and x=5 is less than 5,then the range of m is
    8·1 answer
  • Identify the binomial
    11·1 answer
  • 0.5 +6.38 = 6.88 because 6.38 is precise to the hundredth digit, so the
    11·1 answer
  • I give 20! Find the surface area. And without explanation please, I don’t have enough time.
    12·1 answer
  • It's a set question.. I need your help​
    10·1 answer
  • Can someone ONE person tutor me in math?plsss
    6·2 answers
  • 4/9 - 2/5 give answer in its simpliest form
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!