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3 years ago

If f(x)=1/9x-2 , what is f–1(x)?

1 answer:

7 0

Lets get started :)

f(x) = $\frac{1}{9}x$ - 2
y = $\frac{1}{9}x$ - 2
This is the original equation, and now we have to find the inverse.

When finding the inverse, just flip the variables, x as y and y as x

f ⁻¹(x)
↓
x = $\frac{1}{9}y$ - 2
We have to isolate y as it is our f ⁻¹(x)

Take 2 to the other side { When you see subtraction, you do addition }
x + 2 = $\frac{1}{9} y$

Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y

f ⁻¹ (x) = 9x + 18

You might be interested in

Use pencil and paper to create a table of values for the equation, x - 2y = 6. Rearrange the equation into the y = mx + b form.

Lunna [17]

Answer:

y = 1/2x -3

x=-2 ⇒ y = -4

x=-1 ⇒ y = -3.5

x=0 ⇒ y = -3

x=1 ⇒ y = -2.5

x=2 ⇒ y = -2

Step-by-step explanation:

Hi, to answer this question we have to isolate y:

x - 2y = 6

-2y =6-x

y = (6-x)/-2

y = -3+1/2x

y = 1/2x -3

Now, we have to create a table with the next values (see attachment)

x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4

x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5

x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3

x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5

x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2

Feel free to ask for more if needed or if you did not understand something.

7 0

3 years ago

Marlow types 90 words in 3 minutes. How many words does he type in 7 hours?<br>

Contact [7]

Answer:

if I am right it is 12,600 words

Step-by-step explanation: 90 divided by 3 which is 30 420x30=12,600

7 0

3 years ago

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.

Drupady [299]

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

$A=\dfrac{1}{2}\times Base\times height$

So, the area of Each right triangular tile is:

$A=\dfrac{1}{2}\times 5.2\times 6$

$A=\dfrac{1}{2}\times 31.2$

$A=15.6$

There are 150 tiles in the mosaic. So, the area of the mosaic is:

$Area=15.6\times 150$

$Area=2340$

Therefore, the total area of the mosaic is 2340 cm ².

5 0

3 years ago

What is a b c in 3x^2+4=5x

____ [38]

Answer:

a =3

b = -5

c = 4

Step-by-step explanation:

3x^2+4=5x

Subtract 5x from each side

3x^2-5x+4=5x-5x

3x^2-5x+4=0

The equation is in the form

ax^2 +bx+c =0

a =3

b = -5

c = 4

5 0

3 years ago

I need help on 2 and 3

Andrej [43]

Answer: number 2 is 2795 and I can not see the other sorry please tap the heart and 5 stars again sorry

Step-by-step explanation:

5 0

3 years ago