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777dan777 [17]
3 years ago
11

What is f−1(f(x)) = f(f−1(x)) = equal to????? please help

Mathematics
1 answer:
wel3 years ago
6 0

the assumption here is that the function f(x), has an inverse function of f⁻¹(x), so let's assume that is indeed the case, f⁻¹(x) is the inverse function of f(x).


for functions and their inverse, if they're indeed inverse of each other, then


f⁻¹( f(x) ) = x

f( f⁻¹(x) ) = x.

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Solve and reduce to lowest terms:<br> 6 / 11 x 1 / 3
zysi [14]

Answer:

2/11

Step-by-step explanation:

6/11 x 1/3 =

6/33 =

2/11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to (3x-6)(4x+1)
vodka [1.7K]

Answer:

12x^2 -21x -6

Step-by-step explanation:

(3x-6)(4x+1)

FOIL

first 3x*4x= 12x^2

outer 3x*1 = 3x

inner -6*4x = -24x

last  -6*1 = -6

Add them together

12x^2 +3x -24x -6

Combine like terms

12x^2 -21x -6

8 0
3 years ago
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14mm. Find the area of the shaded regio
Damm [24]

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

Thus;

Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²

7 0
3 years ago
Aaron earned $74 at his job when he worked for 4 hours. What was his hourly pay rate in dollars per hour? Express your answer in
Vinil7 [7]

Answer:

$18.50

Step-by-step explanation:

You notice he gets $74 in 4 hours in which when you need to simplify it:

74/4

when you do this you should get

18.5

So Aaron's hourly pay rate is $18.50

7 0
3 years ago
5 points<br> Write the polynomial 5x + 2x3 + 8x2<br> 7 in standard form.
artcher [175]

Find the GCF, then factor it out. Finally, simplify each term in the parentheses.

5x + 2x3 + 8x2

x(\frac{5x}{x}+\frac{2x^3}{x}+\frac{8x^2}{x} )

x(5+2x^2+8x)

7 0
4 years ago
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