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kherson [118]
3 years ago
12

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (fºg)(x)?

Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0

Answer:

(-∞, ∞)

Step-by-step explanation:

Given,

f(x)=x^2-1 \ and\ g(x)=2x-3

Then (fºg)(x) would be ,

(2x-3)^2-1\\4x^2-12x+9-1\\4x^2-12x+8

Since this is a polynomial, we know domain of a polynomial is all real number.

Therefore the domain of this (fºg)(x) is (-∞, ∞).

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Ernesto solves the equation below by first squaring both sides of the equation. \sqrt{\dfrac{1}{2}w+8}=-2 2 1 ​ w+8 ​ =−2square
algol [13]

Answer:

<h2>w = -8</h2>

Step-by-step explanation:

Given the equation solved by Ernesto expressed as \sqrt{\dfrac{1}{2}w+8}=-2, the extraneous solution obtained by Ernesto is shown below;

\sqrt{\dfrac{1}{2}w+8}=-2\\\\square\ both \ sides \ of \ the \ equation\\(\sqrt{\dfrac{1}{2}w+8})^2=(-2)^2\\\\\dfrac{1}{2}w+8 = 4\\\\Subtract \ 8 \ from \ both \ sides\\\\\dfrac{1}{2}w+8 - 8= 4- 8\\\\\dfrac{1}{2}w= -4\\\\multiply \ both \ sides \ by \ 2\\\\\dfrac{1}{2}w*2= -4*2\\\\w = -8

Hence, the extraneous solution that Ernesto obtained is w = -8

4 0
3 years ago
Find the area of the regular decagon if the apothem is 2.8ft and a side is 1.8ft
geniusboy [140]
DECA=10, decagon = 10 sides.

since each side is 1.8 long, all 10 sides will be 10*1.8 or 18 units long, so that'd be the perimeter then,

\bf \textit{area of a regular polygon}\\\\&#10;A=\cfrac{1}{2}ap~~&#10;\begin{cases}&#10;a=apothem\\&#10;p=perimeter\\&#10;------\\&#10;a=2.8\\&#10;p=18&#10;\end{cases}\implies A=\cfrac{1}{2}(2.8)(18)
6 0
3 years ago
Someone please help!!! This is due tonight!! I’ll give brainliest
3241004551 [841]

Answer:

($0.5 x 2) + ($1.25 x 3) + ($0.75 x 3) = $7

6 0
3 years ago
Read 2 more answers
A group. of 5 friends are sharing 2 pounds of trail mix.Write a division problem and a fraction to represent this situation.
sergejj [24]
5 divided by 2 or 2/5
4 0
4 years ago
Solve for m.<br> 22m^2 + 7m - 2 = 0
pshichka [43]

Answer:

x= -1/2 and x=2/11

Step-by-step explanation:

Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x

Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0

Look at it as if there are two equations: 22x^2+11x and -4x-2

Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)

Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)

Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2

Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:

(11x-2)(2x+1)

Solve each equation for x by equaling them both to zero

5 0
3 years ago
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