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[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ Inverse \ of \ the \ given \ function \ is \ x^2+2x-4 .}}}[/tex]

A function is given to us , and we need to find its inverse. So the function is ,

[tex]\bf\implies f(x) = \sqrt{x + 5 } - 1 [/tex]

So , firstly replace x with y in the given function and then solve for y to get its inverse . Taking the given function ,

[tex]\bf \implies f(x) = \sqrt{x+5}-1\\\\\bf\implies y = \sqrt{x+5}-1 \\\\\bf\implies x = \sqrt{y+5}-1 \:\:\bigg\lgroup \red{\sf Replacing \ x \ with \ y .} \bigg\rgroup \\\\\bf\implies x + 1 = \sqrt{y+5}\\\\\bf\implies y+5 = (x+1)^2 \\\\\bf\implies y+5 = x^2+1 +2x \\\\\bf\implies y = x^2+1-5+2x \\\\\bf\implies y = x^2-4+2x \\\\\bf\implies \boxed{\red{\bf f^{-1}(x)= x^2+2x - 4 }}[/tex]

Here I have also attached the graph of , x² + 2x - 4 and √(x+5) - 1. Here blue graph is of √(x+5) - 1 & red of x²+2x-4.

Answer:

It would be the 1st answer, y= 3/2x + 2.

Step-by-step explanation:

The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps

Answer:

3 hours

Step-by-step explanation:

you would have to subtract 5 from 8 and there's you answer

Hope that helps. XD

Answer:

32

Step-by-step explanation:

3 x 8 = 24, 24 + 8 = 32

Answer:

y = 2x + 2

Hope you have a great day!

Answer:

The artist's salary in the month is 8000.

Step-by-step explanation:

The salary of an artist is given by the function :

y = 2000 + 500x ....(1)

where Y represents the total amount in Reais received in a month of work and "x" the number of shows performed in the month.

We need to find the artist's salary in the month she performed 12 shows.

Put x = 12 in equation (1)

y = 2000 + 500(12)

= 2000 + 6000

= 8000

Hence, the artist's salary in the month is 8000.

Answer: 0.024

Step-by-step explanation:

Answer:

That equals -0.024 Step-by-step explanation:

Answer:

fred = 45 books

sally has 27 times more book than fred

sally = 45 X 27

= 1215 books

Answer: 17x+5

Combine 10x to the 9x which would be 19x then subtract the 2x which gives you 17x+5

Answer: 17x+5

Step-by-step explanation:

10x+5-2x+9x

10x-2x+9x+5

17x+5

Answer:

there is no question... try to ask again and i can try to help :)

Answer:

0.4x

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

-2.4x + 3.8x - x

Step 2: Simplify

Answer:

The watermelon

Step-by-step explanation:

12 pounds would be around 5.450 kilograms

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Sides of similar figures are proportional, so ...

  AB/FE = BC/EC

  x/6 = 10/5

  x = 6·(10/5) . . . multiply by 6

  x = 12

Answer:

Vertical compression

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Answer:

x < 2

Step-by-step explanation:

3x - 2 < 4

   + 2 | + 2

------------------

    3x < 6

         ↓

(3x) / 3  <  6 / 3

         ↓

       x < 2

Answer:

AB is 6 miles

Step-by-step explanation:

Here, we want to get AB

From the question;

CD = 24

BC = 2/3 * 24 = 16

AB = 3/8 * BC

AB = 3/8 * 16

AB = 6 miles

Answer:

decay im pretty sure

Step-by-step explanation:

Let Width (inches)  = X

Let Length (inches) = 3x + 2

40 = (x) + (3x + 2) + (x) + (3x +2)

40 = 8x + 4

-4           -4

36 = 8x

/8     /8

4.5 = x (width)

Length = 3x + 2

length = 3(4.5) + 2

length = 13.5 + 2

length = 15.5 inches

CHECK

40 = 15.5 + 4.5 + 15.5 + 4.5

40 = 20 + 20

40 = 40

Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .

Step-by-step explanation:

Answer:

radius=area÷2

radius=9÷2

radius=4.5

Answer:

101.5 m

Step-by-step explanation:

What you have to do is 50.2 + 15.6 which equals 65.8, and then you add another 35.7 and the answer would be 101.5 m

Answer:

The area is 260 sqaure units.

Step-by-step explanation:

Finding the area of a parallelogram is like finding the area of a rectangle. The base times the height equals the area. As a result, you would multiply 20 by 13 to get 260.

The total number of  text messages he received for two days is  10y+20t

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Mario received y text messages each minute for 10 minutes yesterday and received t text messages each minute for 20 minutes today.

Number of  text messages for yesterday = 10y

Number of  text messages for today = 20t

Total = 10y+20t

Hence, The total number of  text messages he received for two days is  10y+20t

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ2

Answer:

x = -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

(x - 3) = -12

Step 2: Solve for x

Answer:

y = - x + 4

Step-by-step explanation:

The first step is to find the slope-intercept form, which is:

y=x-6.

Then, y=x+6

y=-x+4 should be the answer since it passes through the point (-1, 5)

Answer:

y=x+6

Step-by-step explanation:

the other guy was wrong