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marusya05 [52]
3 years ago
11

Who ever gets it right gets a Brainliest

Mathematics
1 answer:
maksim [4K]3 years ago
3 0

Answer:

im pretty sure thats a trench ;_;

Step-by-step explanation:

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What is the inverse of this function?​
kolbaska11 [484]

Answer:

f^{-1}(x)=4x^2-3

Step-by-step explanation:

<u>The Inverse of a Function</u>

Given a function f(x), the inverse of f, called f^{-1}(x) is a function that satisfies:

f(f^{-1}(x))=x

The domain of f becomes the range of its inverse and vice-versa.

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

* Solve the equation for x.

* Swap the variables

We are given the function:

\displaystyle f(x)=-\frac{1}{2}\sqrt{x+3}

Defined in the interval x ≥ -3

Note f is always negative, thus its range is f(x) ≤ 0

Now we find the inverse. Call y=f(x):

\displaystyle y=-\frac{1}{2}\sqrt{x+3}

Multiplying by 2:

\displaystyle 2y=-\sqrt{x+3}

Squaring both sides:

\displaystyle 4y^2=x+3

Subtracting 3:

\displaystyle 4y^2-3=x

Swapping variables:

y=4x^2-3

Thus:

\mathbf{f^{-1}(x)=4x^2-3}

The domain of the inverse is the range of f, thus x is restricted to

x ≤ 0

5 0
3 years ago
Helllp geometry! Pls!
creativ13 [48]
He should use the Pythagorean Theorem to find the missing length.


Since KT is tangent to the circle and TL reaches the center of circle L, the measure of angle LTK is 90 degrees. This means that triangle LTK is a right triangle which means the Pythagorean Theorem can be used.

So,
TL²+(12)²=(13)²
=> TL²+144=169
=> TL²=25
=> TL = 5

Therefore, the radius of circle L is 5 feet.


7 0
3 years ago
Find the distance between (-4,-3) and (-2,0). Round your answer to the nearest tenth.
Kazeer [188]

Answer:

just count the spaces between (-4, -3) (-2,0)

Step-by-step explanation:

use rise and run or sum else

8 0
3 years ago
Read 2 more answers
X-7y=12 and 3x+12y=36
olchik [2.2K]
Are you asked to factor or what? I would write the 1st x-7y-12=0 and 3x+12y-36=0. and the 2nd one can be factored out. for example factor out a 3.
4 0
4 years ago
Can someone help me?
choli [55]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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