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
yanalaym [24]
3 years ago
9

Given: f(x) = x2 and g(x) = 2x +1, find f(g(x)]. 4x² + 4x + 1 4x² + 1 2x²+1

Mathematics
2 answers:
aleksklad [387]3 years ago
8 0

Answer:

\huge\boxed{f\bigg(g(x)\bigg)=4x^2+4x+1}

Step-by-step explanation:

f(x)=x^2;\ g(x)=2x+1\\\\f\bigg(g(x)\bigg)-\text{instead of}\ x\ \text{in}\ f(x)\ \text{put the expression}\ 2x + 1\\\\f\bigg(g(x)\bigg)=f(2x+1)=(2x+1)^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\f\bigg(g(x)\bigg)=(2x)^2+2(2x)(1)+1^2=4x^2+4x+1

kenny6666 [7]3 years ago
3 0

Answer:

4x^2 + 4x + 1 = f(g(x))

Step-by-step explanation:

To create the function f(g(x)), expand (2x + 1)^2:

We get 4x^2 + 4x + 1 = f(g(x))

You might be interested in
Is 30 a multiple of .5
ahrayia [7]

yes becasue it is 30

,

0.5 hope this correct please don't delete this am trying to help can i get a brainliest


4 0
3 years ago
Read 2 more answers
Apply the Pythagorean Theorem to find the distance between points B and C. A) 18 units B) 55 units C) 64 units D) 73 units
nadya68 [22]

Answer:

BC=\sqrt{73}

Step-by-step explanation:

Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.

If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.

If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.

Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:

BC=hyp=\sqrt{8^2+3^2} =\sqrt{64+9} =\sqrt{73}

3 0
3 years ago
At a pizza resturant they have a choice of 20 toppings. If a customer choosea two topping pizza find the probability that they o
Naddika [18.5K]

Answer: The probability is 1/190 = 0.005

Step-by-step explanation:

The probability of ordering two specific toppings out of 20 is:

For the first selection he can order 2 of them, peperoni or sausage, so the probability for the first selection is 2/20 = 1/10 (the number of correct options divided by the total number of options)

For the second selection we have only one option, because we assume that the other one was selected previously, here we also had a total of 19 toppings because one already was selected, the probability in this selection is 1/19.

The joint probability is equal to the product of those two probabilities:

P = (1/19)*(1/10) = 1/190 = 0.005

3 0
3 years ago
Complete the steps to simplify^5√4 x √2 . Rewrite using rational exponents.
ozzi

The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4

7 0
3 years ago
Read 2 more answers
Look at the image of the two hangers. Based on the image, what is one thing that must be true? What is one thing that could be t
Musya8 [376]

Answer:

One thing that must be true is that the objects will cause some leaning because their masses are unequal, judging from the volume that the objects can hold. One thing that could be true is that the triangle could be heavier than the square, leading to a leaning toward the left. The second pic cannot be true, for there are too much mass concentrated on one side to maintain equilibrium.

7 0
3 years ago
Other questions:
  • What is the value of 5 + 2n if n = 3/4?
    10·2 answers
  • Which is the graph of the system y < 3x + 4 and y < 3x - 2
    8·2 answers
  • The formula for finding the perimeter of a rectangle is P = 2 × l + 2 × w.
    7·1 answer
  • On a given day, the coldest surface temperature on the Moon, $-280$°F, is $53.6$°F colder than twice the coldest surface tempera
    14·2 answers
  • What is the recursive formula for this geometric sequence 2, -10, 50, -250
    13·2 answers
  • Find the volume of a pyramid with a square base, where the area of the base is 11.9\text{ in}^211.9 in ​2 ​​ and the height of t
    13·1 answer
  • What is the area of a circle with a radius of 1 foot?
    15·2 answers
  • Consider the expression 150 + 150(2.5). Which statements are correct?
    9·2 answers
  • Help me Guess just help pleaseeeee
    7·2 answers
  • When multiplying a number by 10, where is the decimal point moved?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!