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
Romashka [77]
3 years ago
8

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

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:

  f(x) restricted to x in [-3, ∞) will have inverse function f⁻¹(x) = √x -3

Step-by-step explanation:

The given function is non-decreasing on the interval [-3, ∞), so that is a suitable domain.

The inverse function can be found from ...

  x = f(y) = (y +3)^2

  √x = y +3

  √x -3 = y

So, the inverse function of f(x) on the domain [-3, ∞) is ...

  f⁻¹(x) = √x -3

_____

In the attached graph, the solid red curve is the domain-restricted portion of f(x). The blue curve is the inverse function. The dashed orange line is a reference line to help you see that the inverse function is a reflection of the function across that line.

You might be interested in
What is the name of a survey that includes all members of a population being studied
Alexxandr [17]
That would be a census!
5 0
3 years ago
2. Faith opens a credit card with an APR of 16.50% compounded monthly. How much is charged in interest this month if her
FromTheMoon [43]

Answer:

14.44 (Letter D)

Step-by-step explanation:

The answer is 14.44

Hopefully its correct!!!

8 0
2 years ago
Ig nobody uses comments anymore :/
marta [7]

Answer:

19

Step-by-step explanation:

9+10 is 19.

8 0
3 years ago
What is the value of x if the sides of a equilateral triangle are x+9 , 3x-9 , and 2x
Yakvenalex [24]

Answer:

x=9

Step-by-step explanation:

The triangle is equilateral which means the sides are equal.

x+9 = 2x

Subtract x from each side

x+9-x = 2x-x

9 =x

3 0
3 years ago
F(x)=2x+5 find f(-6)
ser-zykov [4K]

Answer:

Step-by-step explanation:

f(x) = 2x + 5

f(-6)= 2(-6) + 5 = -12 + 5 = -7

4 0
3 years ago
Other questions:
  • Circle D is shown with the measures of the minor arcs.
    8·2 answers
  • In a homicide case 6 different witnesses picked the same man from a line up. The line-up contained 5 men. If the identifications
    7·1 answer
  • Write the expression as a single logarithm
    13·1 answer
  • Identify the maximum value of the function y = -6x2 - 12x – 1.<br> Respuesta
    12·1 answer
  • #9 please it’s very hard @HavannaS
    12·1 answer
  • 4. The scale factor on a house blueprint is 1 inch = 25
    8·1 answer
  • How to work -1x-2y=-13 x-2y=11 equation by substitution
    11·1 answer
  • Andy Taylor and Ben share their team payment in the ratio 1:3:4. What percentage of the total does Andy recieve?
    13·1 answer
  • Cameron and some friends are going to the movies. At the theater, they sell a bag of popcorn for $5.50 and a drink for $3.75. Ho
    11·1 answer
  • What is the opposite of l3l
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!