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
Find the slope of the graph.
professor190 [17]

Answer:

Slope= m = Δy/Δx = (y₂-y₁)/(x₂-x₁) = rise / run  

Step-by-step explanation:

Hope that helps .  Just plug in your values if you are given two points

for example: (3,4) = (x₂,y₂)    (1,2) = (x₁,y₁)  

Just substitute in the equation above

(4-2)/(3-1) = 2/2 =1  

good luck

6 0
2 years ago
Find two consecutive odd integers whose product is 99
Illusion [34]
Let x be the first odd number.

Second odd number will be x+2

Proof:

If 3 (was) the first odd number, 3+2 would be the next which is 5.

So,

(x) (x+2) = 99
xsquare + 2x = 99
xsquare +2x - 99 = 0
xsquare +11x - 9x -99 = 0
x(x +11) -9(x + 11) = 0
(x+11) (x-9) = 0

So the two odd numbers were 9 and 11
8 0
2 years ago
A traintravels 200 kilometers in 2.5 hours. whatis the trains average speed per hour
marusya05 [52]
I think it may be 80 km/h?
5 0
3 years ago
PLEASE HELP ME WILL MARK BRAINLIEST! Town planners are planning a 500 foot by 700 foot parking lot by making a scale drawing tha
Scilla [17]

Answer:

The approximate value of the scale is 1:67

or the actual value without approximation is 1: 66 2/3 ( 66 while number , two over three)

Step-by-step explanation:

Here, we want to figure out the scale in inches of the drawing to the actual object.

The actual object is 500 ft by 700 ft

while the drawing is 90 inches by 126 inches

Mathematically, we know that 12 inches = 1 foot

So the actual object will be;

500(12) by 700(12)

= 6000 inches by 8400 inches

Now let’s make a division to get the scale;

6000/90 by 8400/126

we get 66.67 as answers on both ends

This is approximately equal to 67

So the scale we have here is 1:67

5 0
3 years ago
Asnwer aswer answer answer plz ASWER ANSWER ANSWER ANSWERR PLZ ANSWEER I NEED ANSWER PLZZZZZ!!!! i need help HELP!!!
Ksenya-84 [330]

Answer:

29,035.43 meters

Step-by-step explanation:

What we know:

- The elevation of the shore of the Dead Sea is -1,344.99 meters.

- The summit of Mt. Everest is 30,380.42 meters above the Dead Sea.

So, we just add the two values.

30,380.42 + (-1,344.99)

We can rewrite this as 30,380.42 - 1,344.99 since adding a negative is the same as subtracting that number.

And we get 29,035.43 meters as the elevation or height of Mt. Everest.

7 0
2 years ago
Other questions:
  • A contractor is calculating the interior perimeter of square windows on a building site. Each window will be framed with 2 inche
    7·1 answer
  • Can someone give me the answer please im confused
    12·1 answer
  • A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 14 inches, and the bicycle wheel makes 3 full
    14·2 answers
  • Which strategy would you use to find 2+8 ? explain how you decided.
    9·2 answers
  • Evaluate the numerical expression. −8.1 – 3.5 ÷ (−0.5)
    12·1 answer
  • What is the range of the function y = x² + 1?
    14·2 answers
  • First,i would rewrite 3/4 as an equivalent fraction with a denominator of ____
    7·1 answer
  • What is the simplified answer?
    15·2 answers
  • A ladder leans against a wall 6 ft above the ground. The base of the ladder is 3 ft from the wall. How long is the ladder?
    7·1 answer
  • On average, Gavin drinks of a 6-ounce glass of water in 11 hours. How much water
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!