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
nata0808 [166]
3 years ago
12



Mathematics
2 answers:
dedylja [7]3 years ago
7 0

Answer with explanation:

⇒Domain:

f(x)= -x² -2 x +15

   = - (x²+2 x -15)

Splitting the middle term

 = - (x²+5 x - 3 x -15)

= -[ x × (x+5) -3× (x+5)]

= -(x-3)(x+5)

y=f(x)=(3 -x)(x+5)

Domain of the function is defined as set of all values of x, for which y is defined.

f(x) is defined as all real values of x.So, Domain = R.

⇒Range:

y=-x^2-2 x +15\\\\y=-(x^2+2 x-15)\\\\ y=-[(x+1)^2-1-15]\\\\y= -(x+1)^2+16\\\\ 16 -y=(x+1)^2\\\\x+1=\pm\sqrt{16-y}\\\\x=\pm\sqrt{16-y}-1

Range of the function is defined as set of all values of y, for which x is defined.

⇒16 -y ≥ 0

⇒y ≤ 16

Option B

The domain is all real numbers. The range is {y|y ≤ 16}.

Andre45 [30]3 years ago
3 0
It is the 2nd one if im not right then idk
You might be interested in
How to find the maximum number of zeros​
Oxana [17]

Answer:

I dont really know what your asking :/

Step-by-step explanation:

7 0
3 years ago
Graph the inverse of the function.
Ghella [55]

Answer:

The graph of the inverse function is the same that the graph of the original function

Step-by-step explanation:

step 1

Find the equation of the function in the graph

Let

f(x) ---> the function in the graph

we know that

Is a linear function

take the points (0,6) and (6,0)

<em>Find the slope of the linear function</em>

m=(0-6)/(6-0)\\m=-1

<em>Find the the equation of the linear function in slope intercept form</em>

f(x)=mx+b

we have

m=-1

b=6 ---> the y-intercept is given

substitute

f(x)=-x+6

step 2

Find the inverse of the function f(x)

Let

y=f(x)

y=-x+6

<em>Exchange the variables (x for y and y for x)</em>

x=-y+6

Isolate the variable y

y=-x+6

Let

f^{-1}(x)=y

f^{-1}(x)=-x+6

f^{-1}(x)=f(x)

In this problem the graph of the inverse function is the same that the graph of the original function

4 0
3 years ago
an art student wants to take a triangle with side lengths of 9,9, and 15 and enlarge it so that the longest side of a new triang
VikaD [51]

Answer:

13.5

Step-by-step explanation:

The longest side of the smaller triangle is 15 while that of the bigger one is 22.5

The enlargement ratio is 22.5/15 = 1.5

so the lengths of the smaller sides will be;

(1.5*9) = 13.5

6 0
3 years ago
What is the slope of this graph?
Firlakuza [10]
The slope of that graph is 1/2
5 0
2 years ago
you live in the building on the left in the drawing, and a friend lives in the other building. the two of you are having a discu
denis23 [38]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Tim is selling tickets to a school sporting event to raise money for his club. He put some extra money in his box before he bega
    13·1 answer
  • PLEASE HELP ME AND WRITE IN SIMPLIFIED FRACTIONS PLEAAAASSSSSEEE
    7·1 answer
  • A department store sells a pair of shoes with an 87% markup. If the store sells the shoes for $193.21 then what is their non-mar
    5·1 answer
  • Find the values of the variables in the parallelogram. The diagram is not to scale.
    12·1 answer
  • Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 11
    9·1 answer
  • The school serves tacos every 6th day and cheeseburgers every 8th day. If tacos and cheeseburgers are both on today’s menu, how
    5·2 answers
  • The distance between (2,0) and (5, -1) is
    14·1 answer
  • !!!HELP ME!!! ILL GIVE YOU BRAINLIEST!!!!
    14·2 answers
  • Solve the right triangle.<br> Round your answers to the nearest tenth.
    8·1 answer
  • 1. find measure of A.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!