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MAVERICK [17]
3 years ago
8

If f(x) =1/9 x-2, what is f-1(x)?

Mathematics
2 answers:
Sav [38]3 years ago
7 0

Answer:

f^-1(x) = 9(x+2)

Step-by-step explanation:

To find the inverse function, exchange x and y and then solve for y

y = 1/9 x -2

Exchange x and y

x = 1/9 y-2

Solve for y

Add 2 to each side

x+2 = 1/9 y-2+2

x+2 = 1/9y

Multiply each side by 9

9(x+2) = 9*1/9y

9(x+2) = y

The inverse function

f^-1(x) = 9(x+2)

Leto [7]3 years ago
7 0

Answer:

9x+18

Step-by-step explanation:

f^{-1} means they want you to find the inverse function of y=1/9 x-2.

The inverse is just a swapping of x and y.

People tend to remake the y part the subject again because they want to write it as a function.

Let's start:

y=\frac{1}{9}x-2

Swap x and y:

x=\frac{1}{9}y-2

Now it's time to solve for y:

Add 2 on both sides:

x+2=\frac{1}{9}y

Multiply both sides by 9:

9(x+2)=y

Distribute:

9x+18=y

So The inverse function is:

f^{-1}(x)=9x+18

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The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and thre
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Step-by-step explanation:

(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.

According to the question,  

  • Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms.
  • Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria:
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A plane descends to sea level from 36 comma 400 feet after being airborne for 1 and one half hours. The entire flight time is 3
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350 feet per minute

Step-by-step explanation:

The amount of time it took the plane to descend is 3 hours 14 minutes minus 1 hour 30 minutes.

This means it took 104 minutes for the plane to descend 36,400 feet.

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Find the real numbers x and y that make the equation true.<br> -3 + yi = x + 6i
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What is the argument of -5\sqrt{3}+ 5i?
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Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is 5\sqrt{3}.

\tan(\theta)=\frac{5}{5\sqrt{3}}

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\theta=\tan^{-1}(\frac{1}{\sqrt{3}})

\theta=30

So 90-30=60.

The answer therefore 60+90=150.

4 0
3 years ago
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