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
irina1246 [14]
4 years ago
11

This is the new one! Please help I’m so lost

Mathematics
1 answer:
raketka [301]4 years ago
3 0

Answer:

(a) (f o g)(x) =  x^2 - 15x + 54

(b) (g o f)(x) = x^2 + 3x - 9

(c) (f o f)(x) = x^4 + 6x^3 + 12x^2 + 9x

(d) (g o g)(x) = x - 18

Step-by-step explanation:

f(x) = x^2 + 3x

g(x) = x - 9

(a)

(f o g)(x) = f(g(x)) = (g(x))^2 + 3(g(x)) = (x - 9)^2 + 3(x - 9)

(f o g)(x) = x^2 - 18x + 81 + 3x - 27

(f o g)(x) = x^2 - 15x + 54

(b)

(g o f)(x) = g(f(x)) = f(x) - 9 = x^2 + 3x - 9

(c)

(f o f)(x) = f(f(x)) = (x^2 + 3x)^2 + 3(x^2 + 3x)

(f o f)(x) = x^4 + 6x^3 + 9x^2 + 3x^2 + 9x

(f o f)(x) = x^4 + 6x^3 + 12x^2 + 9x

(d)

(g o g)(x) = g(g(x)) = x - 9 - 9 = x - 18

You might be interested in
Name the angle in four ways. Then classify the angle as acute,right,obtuse, or straight.
kirill115 [55]

Answer:

∡RST

∡S

∡TSR

∡4

this appears to be an obtuse angle

Step-by-step explanation:

∡RST

∡S

∡TSR

∡4

this appears to be an obtuse angle

5 0
3 years ago
Bill placed a coordinate grid over a drawing of his back yard. Points A (-2, -3) and B (4, 9) represent two corners of his garde
irinina [24]

Answer:

(1;3)

Step-by-step explanation:

midpoint=(x1+x2;y1+y2)÷2

=(-2+4;-3+9)÷2

=(2;6)÷2

=(1;3)

6 0
3 years ago
How do you do this? I’m really lost
Katen [24]

Answer:


Step-by-step explanation:

To do these the main think to consider is the boundaries of the functions.  In other words, check when the boundary is true and use that function.  And so,

If we look at 1a.) f(-3) this means that x=-3.  Now check the boundary condition of both equations first.  For 6x-1 use it only if x<0 well is -3<0? Yes, so we will use this function.  But let's check why we won't use 7x+3 this is because the boundary is x≥0 and since x=-3, -3≥0 is false so we dont use that function.  Therefore:

f(x)=6x-1

f(-3)= 6(-3) - 1 = -18 - 1 = -19

1b.) Same idea so we will use 7x+3 because 0≥0 is true and so:

f(x)= 7x + 3

f(0) = 7(0) + 3 = 0 + 3 = 3

1c.) We will use the second equation since 4≥0 is true and so:

f(x) = 7x + 3

f(4) = 7(4) + 3 = 28 + 3 = 31


You will use the same logic to solve 2 and 3.  Good luck! Hope this helps!

6 0
3 years ago
Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes befo
andrew-mc [135]

Answer:

There are 192 window panes in total.

Step-by-step explanation:

Since each window has four window panes across and four window panes down,the number of panes per window is:

w=4*4=4^2

The total number of window panes in 'n' windows is:

P=n*4^2

With n = 12 windows, the expression that describes the total number of window panes is:

P=12*4^2\\P=192\ panes

There are 192 window panes in total.

5 0
3 years ago
Bob needs to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice. Bob has 6 cups of concentrate.
Yuri [45]
How much did you multiply the concentrate by to get 6? 

4. You need to even out the equation by multiplying 3.5 by 4 as well. 3.5*4 = 14. Add this to the 6 cups of concentrate (You don't want just water!) to get 20 cups. 20 cups is equal to 1.25 gallons or 5 quarts. (:
6 0
3 years ago
Read 2 more answers
Other questions:
  • Which budget categories help a family meet its basic needs?
    5·1 answer
  • Find all residues (A) such that (A) is its own inverse modulo 317.
    9·1 answer
  • How to determine if something is a linear transformation?
    6·1 answer
  • Manny purchased a new car this year for 20,500 The car is expected to depreciate at an annual rate of 16%
    9·1 answer
  • What value of n will make wn = wp ÷ p a TRUE statement?
    8·2 answers
  • How big are great whites
    8·1 answer
  • A rectangular box with a volume of 684 ftcubed is to be constructed with a square base and top. The cost per square foot for the
    12·1 answer
  • Helpppp quickkkkk plzz
    6·2 answers
  • Y is directly proportional to x. If y=15 when x=4,find y when x=5​
    12·1 answer
  • What is the base of a triangle with an area of 207 square inches and a height of 18 inches ?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!