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
vladimir2022 [97]
3 years ago
14

If f(x) = x2 + 7x and g(x) = 3x - 1, what is f(g(x))?

Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

f(g(x)) = 9x^2 + 15x - 6

Step-by-step explanation:

We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.

Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side.  We obtain:

f(g(x)) = (3x - 1)^2 + 7(3x - 1).

If we multiply this out, we get:

f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or

f(g(x)) = 9x^2 + 15x - 6

You might be interested in
What is the sum of 2/11’ 2/7’ and 1/11’?
pav-90 [236]
Solution

To solve this addition of fractions we are gonna apply the fraction rule which is;

a/c + b/c = (a + b)/c

2/11 + 1/11 = (2 + 1)/11


= (2 + 1)/11 + 2/7

Now add the numerators 2 + 1

= (2 + 1)/11 + 2/7

= 3/11 + 2/7

Now we find the least common multiple

The least common multiple of 11 and 7 is 77.

But before that we cross multiply the numerators.

3 * 7 = 21
2 * 11 = 22

Now the ajustes fraction is;

21/77 + 22/77


Apply the fraction rule which is;

a/c + b/c = (a + b)/c

= (21 + 22)/77

Now we add the numerators.

43/77

Therefore the answer in fraction is 43/77 and in decimal form it is 0.55841
6 0
3 years ago
What is the simplest form of 4a + 8b/12​<br> Step by step pls
shutvik [7]

Answer:

4a + 2b/3

Step-by-step explanation:

focus on 8b/12 first:

factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3

then, go back to 4a:

4a is in its simplest form, it can't be factor

therefore, plus 4a and 2b/3 = 4a + 2b/3

5 0
3 years ago
Please help me in this one!!
olga2289 [7]
A^3
a to the power of three
6 0
2 years ago
Read 2 more answers
If angle symbol1 and angle symbol2 are complementary angles and if the measure of angle symbol1 is 5454degrees° more than the me
Misha Larkins [42]
<span>Complementary angles by definition sum up to 90 degrees.
   Let x = measure of angle2.
 It's given that angle1 = x + 54

   Since complementary, we know (x+54)+x = 90
 2x+54=90
 2x=36
 x=18.
 So angle2 measures 18 degrees and angle1 is 18 degrees+54 degrees, or 72 degrees. 72+18 = 90 as expected for complementary angles.</span>
7 0
3 years ago
Is negative 5/8ths more than,less than or equal to 0.27?
ollegr [7]
It is less than. Any negative number compared to a positive number will be less than.
7 0
3 years ago
Other questions:
  • A car is traveling at a speed of 81 miles per hour. What is the car's speed in feet per second? How many feet will the car trave
    13·1 answer
  • Simplify 8^-5 over 8^-3
    13·2 answers
  • Ahmad drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
    11·1 answer
  • Help me!!!!!!! What are the inequalities number 7-8
    7·1 answer
  • What number should be added to both sides of the equation to complete the square?
    15·1 answer
  • Find the circumference.<br> Use 3.14 for pi<br> r = 4 cm<br> C = [?] cm<br> C=pi d
    14·1 answer
  • Becky lives 5 3/4 miles from school this is 2/5 of the distance she lives from the beach how many miles does Becky live from the
    11·1 answer
  • Help me i need this grade but im bad at math
    7·1 answer
  • Find the total surface area of this cuboid
    6·2 answers
  • As an oak tree grows taller, it also grows wider. In other
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!