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OLEGan [10]
2 years ago
8

​ ​ , find f^{-1}(x)f −1 (x)

Mathematics
1 answer:
Stolb23 [73]2 years ago
5 0

Answer:

Multiply the numerator by the reciprocal of the denominator. Multiply x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=1x f - 1 ( x ) = 1 x is the inverse of f(x)=1x f ( x ) = 1 x .

Step-by-step explanation:

:)

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The campers asked their counselor to tell them her age. She replied, “If you add four years to my present age, the result will b
dolphi86 [110]

Thus the counselor's age is 20 years.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

<h3>Ratio and proportion</h3>

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

Add four years to my present age, the result will be two times my camper’s.

Five years ago my age was 3/4 of what hers will be in eight years.

<h3>To find </h3>

The present age of counselor.

<h3>How to find the present age of counselors?</h3>

Add four years to my present age, the result will be two times my camper’s. then,

y +4 = 2x .....1

Five years ago my age was 3/4 of what hers will be in eight years.

\rm y - 5 = \dfrac{3}{4} (x + 8) .....2

From equation 1 and 2

\begin{aligned} \rm 2x - 4 - 5 &= \dfrac{3}{4} (x + 8)\\8x - 36 &= 3x +24\\5x &= 60\\x &= 12 \end{aligned}

Put the value of x in equation 2, then

y + 4 = 2x

y + 4 = 2 *12

     y = 24 - 4

     y = 20

Thus the counselor's age is 20 years.

More about the linear system link is given below.

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3 0
2 years ago
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Find the perimeter round to the nearest hundredth
pashok25 [27]

Answer:

1,225

Step-by-step explanation:

you mutuply the sides

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3 years ago
Given the volume, state the missing measure for each figure below.​
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Step-by-step explanation:

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Find the equation of the directrix of the parabola found in part A.
elena-s [515]

The specific equation of the parabola can be found by plugging the given

values of the variables of the general equation.

<h3>Correct Response;</h3>
  • \displaystyle The \ equation \ of \ the \ parabolic \ reflector \ is; \ \underline{ y = \frac{1}{12} \cdot x^2}
<h3>Method used to obtain the above equation;</h3><h3 /><h3>Given parameters;</h3>

The vertex of the parabola is at the origin with coordinates (0, 0)

The location of the focus = 3 cm from the vertex

<h3>Required:</h3>

The equation that models the parabola.

<h3>Solution:</h3>

The vertex form of the equation of a parabola is y = a·(x - h)² + k

The above equation can be expressed as (x - h)² = 4·p·(y - k)

Where in a vertical parabola;

(h + p, k) = The coordinates of the focus

(h, k) = The coordinates of the vertex = (0, 0)

p = 3 = The distance of the focus from the vertex

Therefore, the coordinates of the focus = (0 + 3, 0) = (3, 0)

The equation of the parabola is therefore;

(x - 0)² = 4×3 × (y - 0) = 12·y

x² = 12·y

  • \displaystyle The \ equation \ of \ the \ parabola \ that \ models \ the \ reflector \ is; \ \underline{ y = \frac{1}{12} \cdot x^2}

Learn more about the equation of a parabola here:

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Diano4ka-milaya [45]

Answer:

h=3V/πr²

Step-by-step explanation:

  • V= πr²h/3
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  • h=3V/πr²
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3 years ago
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