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
jeka57 [31]
3 years ago
6

Pls help; use inverse operations to write the inverse of F(x)= x/4 - 5

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
5 0

Answer:

f^{-1}(x)=4(x+5)

Step-by-step explanation:

So we have the function:

f(x)=\frac{x}{4}-5

To find the inverse of a function, switch f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:

x=\frac{f^{-1}(x)}{4}-5

Add 5 to both sides:

x+5=\frac{f^{-1}(x)}{4}

Multiply both sides by 4:

f^{-1}(x)=4(x+5)

And we're done!

Hope this helps!

Levart [38]3 years ago
4 0

Answer:

\huge \boxed{F^{-1}(x)=4(x+5)}

\rule[225]{225}{2}

Step-by-step explanation:

\displaystyle F(x)= \frac{x}{4} - 5

\displaystyle y= \frac{x}{4} - 5

Switching variables,

\displaystyle x= \frac{y}{4} - 5

Solving for y,

\displaystyle x+5= \frac{y}{4}

4(x+5)=y

\rule[225]{225}{2}

You might be interested in
Please help. Im dying for the explanation. I will mark you brainalist.
AlekseyPX

Step-by-step explanation:

Given that the mean of the numbers is 12

mean =  \frac{sum \:  \: of \: observations}{total \: number \: of \: observations}

so here

let's that one as x and another one as 2x since it is given that one is twice the other

Therefore we get

mean =  \frac{13 + x + 4 + 16 + 6 + 2x}{6}

Given mean = 12

12 =  \frac{39 + 3x}{6}

72 = 39 + 3x

3x = 33

x = 11

Hence it's 11 and 22

5 0
2 years ago
Doug purchased land for $8,000 in 1995. The value of the land depreciated by 4% each year after 1995. Write an exponential funct
Mashutka [201]

Answer:

$6.012

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
In a scale drawing of Sheikra, a designer
I am Lyosha [343]

Answer:

Doodoo

Step-by-step explanation:

doodoo

7 0
3 years ago
Write an equation in point-slope form for m=2;(5,6)
yanalaym [24]

Answer:

y-6 = 2 (x-5)

Step-by-step explanation:

point slope form

y-y1 = m(x-x1)

y-6 = 2 (x-5)


6 0
3 years ago
Other questions:
  • Which graph represents the given inequality 2x-5y&lt;-20
    7·2 answers
  • Lilli jogs 1/2 mile in 1/10 hour. What is Lilli's rate in miles per hour?
    14·2 answers
  • Please Help!!!
    13·1 answer
  • Jenny and her brother are arguing about who will get the larger peace of cake. They decided to have a coin toss. What is the pos
    12·2 answers
  • A ship caption is mapping
    6·2 answers
  • Ralph owns the farmer’s silo shown. The silo is a cylinder with a half-sphere as the roof. He wants to fill it up with corn for
    12·1 answer
  • Find the slope of the line that passes through (13,7 ) and (13,11)
    6·1 answer
  • What is slope of the line?
    14·1 answer
  • The function f(x) = –two-sevenths (five-thirds)x is reflected over the y-axis to create g(x). which points represent ordered pai
    14·1 answer
  • Your bank account has -$30, and you deposit $7 daily. How much money is your account after 5 days? Show you work with the Unit!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!