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
Papessa [141]
3 years ago
13

If the domain of a function f is {x|0≤x≤7} and the domain of a function g is {x|-2≤x≤5}, then the domain of the sum of the funct

ion f+g is ______
Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

-2 ≤ x ≤ 6

Step-by-step explanation:

For function f:

x - 7 ≤ 0 and x ≥ 0

For function g:

x + 2 ≥ 0 and x - 5 ≤ 0

The sum of the f + g:

x - 7 + x - 5 ≤ 0

2x - 12 ≤ 0

2x ≤ 12

∴ x ≤ 6

Also, x + 2 ≥ 0

x ≥ -2

Hence, -2 ≤ x ≤ 6

You might be interested in
Eric has seventeen candy bars, he gives Debra five. How many candy bars does Eric have now?
sergejj [24]
17-5=12
So Eric has 12 candy bars
8 0
3 years ago
In the vector space <img src="https://tex.z-dn.net/?f=P_2%28%5Cmathbb%7BR%7D%29" id="TexFormula1" title="P_2(\mathbb{R})" alt="P
tatuchka [14]

We could express any vector p\in P_2(\mathbb R) as

p=ax^2+bx+c

So any vector u\in U would have coefficients a,b,c that satisfy

16a+4b+c=0\implies c=-16a-4b

from which we can show that any such vector is a linear combination of some other vectors:

u=ax^2+bx+(-16a-4b)=a(x^2-16)+b(x-4)

More explicitly, we've shown that u is a linear combination of the vectors x^2-16 and x-4; in other words, u\in\mathrm{span}\{x^2-16,x-4\}, and in fact these two vectors form a basis for U. But this set does not span all of P_2(\mathbb R) because there's no combination of these two vectors that can be used to obtain a constant. We want the transformation to be usable for any vector in P_2(\mathbb R), so we need to add an additional vector extend the basis. We can do this simply by appending 1 into the spanning set. (Do check that the vectors remain linearly independent.)

Now we want the transformation to map those polynomials p(x) for which p(4)=0 to the zero vector. We know which vectors belong to the basis of U, so we need

f(x^2-16)=0

f(x-4)=0

f(1)=1

where the choice of the assignment for f(1) is arbitrary, so long as it's non-zero.

6 0
3 years ago
16=k/11? What is the answer?
kupik [55]
16=k/11
16*11=k
k=176
the answer is 176
7 0
3 years ago
What is the solution set of the compound inequality
Kitty [74]

Answer:6/5<x<.10/3

Step-by-step explanation:

5 0
3 years ago
A rectangular patio has a length of 558 and a width of 112 . What is the area?
torisob [31]

Answer:

Area of a rectangle is given by product of length and width. Hence width is area divided by length.

\sf{ \boxed{ as \ area \ is \: 5 \frac{3}{8}  =  \frac{4}{38}}}

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}? please help
    5·1 answer
  • Is 7/10 or 11/20 greater than less than or equal too
    6·2 answers
  • Please slove step by step for both
    11·2 answers
  • What is the slope of the line that contains the points (-4,2) and (6,-3)?-
    11·1 answer
  • 3y=2x-9 what could be the other equation
    12·2 answers
  • Simplify expression<br>9-18÷3+7​
    9·2 answers
  • Each music class sings 8 songs a week. How. Many songs does each class sing in 5 weeks 6 weeks 7 weeks
    15·1 answer
  • HELP ME PLEASE!!!this is due in 10 minutes
    8·2 answers
  • If the areas of the given pairs of shapes are equal, find the value of x.​
    12·2 answers
  • A volleyball team played 25 games. The ratio of games won to games lost was 6:4. How many games did the team win
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!