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
Basile [38]
3 years ago
10

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

Mathematics
1 answer:
My name is Ann [436]3 years ago
5 0

Answer:

\large\boxed{\text{The domain is the set of all real numbes}\to x\in\mathbb{R}}

Step-by-step explanation:

f(x)=x^2-1,\ g(x)=2x-3\\\\(f\circ g)(x)-\text{instead of x in the function equation f(x) put}\ 2x-3:\\\\(f\circ g)(x)=(2x-3)^2-1\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(f\circ g)(x)=(2x)^2-2(2x)(3)+3^2-1=4x^2-12x+9-1\\\\(f\circ g)(x)=4x^2-12x+8\\\\\text{the domain is the set of all real numbes}\to x\in\mathbb{R}

You might be interested in
Evaluate x+1 when x = 2.5
lina2011 [118]
Plug in 2.5 for x and you get

2.5+1 which equals 3.5
5 0
3 years ago
What is the distance to the earth’s horizon from point P?<br><br> Express your answer as a decimal
rewona [7]

Answer:

The distance to the earth's horizon from point P is 216.2198187 mi, appriximately 216.22 mi

Step-by-step explanation:

This is a right triangle:

Hypotenuse: c=3959 mi + 5.9 mi → c=3964.9 mi

Leg 1: a=x=?

Leg 2: b=3959 mi

Using the Pytagorean theorem:

a^2+b^2=c^2

Replacing the known values:

(x)^2+(3959 mi)^2=(3964.9 mi)^2

Solving for x: Squaring:

x^2+15,673,681 mi^2=15,720,432.01 mi^2

Subtracting 15,673,681 mi^2 both sides of the equation:

x^2+15,673,681 mi^2-15,673,681 mi^2=15,720,432.01 mi^2-15,673,681 mi^2

x^2=46,751.01 mi^2

Square root both sides of the equation:

sqrt(x^2)=sqrt(46,751.01 mi^2)

x=216.2198187 mi

x=216.22 mi

3 0
3 years ago
PLEASE HELP 5 STAR + BRAINLY IF RIGHT!
Sever21 [200]
Right your ratio of \frac{8}{12}
Simplify fraction to 3/4
Now set it up with c/100 to find the percent (c equaling the percentage of caremel brownies)

Cross multiplty:
\frac{2}{3} \frac{c}{100}

Crossmultiply:
3c = 200
Divide (solve equation)

c = <span>66.6666666667</span>
7 0
3 years ago
Read 2 more answers
3х – 6 =-2y<br> Find the slope of a line perpendicular to each given line
kondaur [170]

Answer:

Slope of the perpendicular line: 2/3

Step-by-step explanation:

-2y = 3x - 6

y = - 3/2x - - 6/2

y = -3/2 + 3

3 0
3 years ago
A milk container capacity is one gallon. how many cups would be equal?
Elza [17]
A milk container that has the capacity of one gallon is equal to a container that has the capacity of 16 cups.
6 0
3 years ago
Other questions:
  • What is 35/60 simplest form
    12·2 answers
  • Apples lose 71% of their weight while drying. How many fresh apples to you need to pick in order to get 128 lb of dried apples?
    12·1 answer
  • Which equation does NOT represent direct variation? A. Y=x/21 B. y/x=5/8 C. y-3= 3x D. y-5x=0
    13·2 answers
  • The average number of claims per hour made to an insurance company is 3.
    8·1 answer
  • Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches.
    10·2 answers
  • 1/4(24x+12)=6(x+1/2)
    10·1 answer
  • Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to re
    11·1 answer
  • What is 170 divided by the sum of 25 and 9
    6·2 answers
  • What is the answer for 5 more than a number y is -2
    8·2 answers
  • Kevin brought 15 chicken wings for 31.50 how much would it cost for 7 wings.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!