X^+5x+8=0 What is the answer to this question

Find the inverse of each function. Is the inverse a function? y=(x+4)³-1

tatuchka [14]

Inverse of the give function F(x) = ( x + 4 )³ - 1 is F⁻¹(x) = [√( x + 1 ) ] - 4.

Given is a function of x, F(x) = ( x + 4 )³ - 1

These question can be solved by following 4 easy steps

Step 1 : Switch the F(x) with the variable y

This implies, F(x) = ( x + 4 )³ - 1 becomes y = ( x + 4 )³ - 1

Step 2 : Interchange the variable x and y in the above obtained equation

This implies, from the equation y = ( x + 4 )³ - 1, we get

x = ( y + 4 )³ - 1

Step 3 : Solve the new obtained equation for y

This implies, we have to simplify the equation by rearranging the terms to get the equation in terms of the variable x.

x = ( y + 4 )³ - 1

=> x + 1 = ( y + 4 )³

=> (y + 4 )³ = x + 1

=> y + 4 = √( x + 1 )

=> y = √( x + 1 ) - 4

Hence we obtain the required equation.

Step 4 : Switch the variable y with F⁻¹(x)

This implies, y = √( x + 1 ) - 4 becomes F⁻¹(x) = √( x + 1 ) - 4

Therefore, we get the inverse of the give function F(x) = ( x + 4 )³ - 1 as F⁻¹(x) = [√( x + 1 ) ] - 4.

Learn more about Inverse of a Function here:

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4 0

1 year ago

Please help.....fast

BaLLatris [955]

Answer:

Scalene triangle as there are no sides given.

or,

Measure it using a ruler and classify it based on the result.

Step-by-step explanation:

Scalene triangle = No sides are equal.

Isosceles triangle = 2 sides equal.

Equilateral triangle = All sides equal.

Right angled triangle = One angle is 90.

Since, the picture hasn't given any sides, i am gonna say it's a scalene triangle.

If, the triangle is for measure, measure it using a ruler and classify it based on the result.

6 0

3 years ago

Aura used the expression 9x3 to find the total number of flowers she picked. Which could describe what aura did with the flowers

GarryVolchara [31]

Can you send me the imager of the sheet please

3 0

3 years ago

A circle has a radius of 3it has an arc with a 20 degree central angle

alexandr402 [8]

Answer:

Step-by-step explanation:

The circumference of the circle is 6π inches

The length of the arc is (20/360)×6π = 1.04 inches

(The complete circumference would cover 360°. Angle ALB is 20°)

7 0

3 years ago

In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control

lianna [129]

Answer:

The sample space for selecting the group to test contains 2,300 elementary events.

Step-by-step explanation:

There are a total of N = 25 aluminum castings.

Of these 25 aluminum castings, n₁ = 4 castings are defective (D) and n₂ = 21 are good (G).

It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!(n-k)!}$

Compute the number of samples that are possible as follows:

${25\choose 3}=\frac{25!}{3!\times (25-3)!}$

$=\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300$

The sample space for selecting the group to test contains 2,300 elementary events.

6 0

3 years ago