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3 years ago

If f(x) = one/nine x -2, what is f^-1(x)

Mathematics

1 answer:

astraxan [27]3 years ago

6 0

Answer:

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

Step-by-step explanation:

Assuming $f(x)=\frac{1}{9} x-2$

What we have to do is replace f(x) with y, swap the locations of x and y, and then solve for y.

$y= \frac{1}{9} x-2\\\\x=\frac{1}{9}y-2\\ \\x+2=\frac{1}{9}y\\\\y=9x+18\\\\f^{-1} (x)=9x+18$

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Find the value of the trigonometric ratio. Simplify the ratio if possible.

sweet [91]

Step-by-step explanation:

Given that,

BC = 8

Ac = 15

We can find AB using the pythagoas theorem.

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We know that,

$\cos\theta=\dfrac{B}{H}$ , B is base and H is Hypotenuse

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Hence, this is the required solution.

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3 years ago

The distance between the point (-3,4) and the point of origin

pickupchik [31]

Answer:

Step-by-step explanation:

1) origin point is (0;0);

2) the required distance is:

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3 years ago

A train travels at 100 milers per hour. An equation can be written that compares the time (t) with the distance (d). Define the

Alenkasestr [34]

Answer:

The domain is t ≥ 0

The range is D ≥ 0

Step-by-step explanation:

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t is the time measured in hours.

d₀ is the initial position of the train.

We can assume the distance they go is not negative so...

The domain is t ≥ 0

The range is D ≥ 0

8 0

2 years ago

I NEED HELP FAST!! PLZ.

adoni [48]

The answer is z = 4 because of you put 4 into the equation it equals to 100

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3 years ago

Completing the square:

vichka [17]

Answer:

Step-by-step explanation:

Key to this method is remembering that

$(a+b)^2 = a^2 + 2ab + b^2$

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.

6/2 = 3, so add $3^2 = 9$

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$c = (\frac{-34}{2} )^2 = (-17)^2 = 289$

You don't really have to worry about the sign, since squaring will always make it positive

$(\frac{25}{13}) ^2 = \frac{625}{169}$

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3 years ago