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lesantik [10]
3 years ago
15

Given f(x) = x2-2 and g(x) = sqrt x find f(g(2))

Mathematics
2 answers:
Ugo [173]3 years ago
8 0

Answer:

\boxed{\boxed{f\bigg(g(2)\bigg)=0}}

Step-by-step explanation:

f(x)=x^2-2,\ g(x)=\sqrt{x}\\\\Domain:\\D_f:x\in\mathbb{R}\\\\D_g:x\geq0\\\\f(g(x))=\left(\sqrt{x}\right)^2-2=x-2

Used:\\\\(\sqrt{a})^2=a

f(g(2)):\\\text{Put x = 2 to the equation of the function:}\\\\f(g(2))=2-2=0

IrinaK [193]3 years ago
8 0

Answer:

The value of f(g(2)) is 0

Step-by-step explanation:

Given:

f(x) = x^2-2 and g(x) = \sqrt{x}

we have to find the f(g(2)).

first find g(2)

Put x =2 in g(x) we have;

g(2) = \sqrt{2}

Now;

f(g(2))=f(\sqrt{2})=(\sqrt{2})^2-2 = 2-2 = 0

Therefore, the value of f(g(2)) is 0


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4 0
3 years ago
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there are 36 capenters in a crew. Ona certain day,29 were present .What percent showed up for work?[round to the nearest tenth
aliina [53]

Answer:


Step-by-step explanation:

We assume, that the number 36 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 36, so we can write it down as 100%=36.

4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.

5. Now we have two simple equations:

1) 100%=36

2) x%=29

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=36/29

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 29 is what percent of 36


100%/x%=36/29

(100/x)*x=(36/29)*x - we multiply both sides of the equation by x

100=1.24137931034*x - we divide both sides of the equation by (1.24137931034) to get x

100/1.24137931034=x

80.5555555556=x

x=80.5555555556


now we have:

29 is 80.5555555556% of 36 to the nearest tenth is 81%

4 0
3 years ago
How many times greater is the value of the 3 in 4,367 than the value of the 3 in 39?​
Lesechka [4]

Answer: Roughly 111.97

Step-by-step explanation:

1. 39 divided by 3 is 13.  

2. 4367 divided by 3 is not evenly distributed. Rounding, it would work out to be roughly 1455.66 

3. 1455.66 divided by 13 is roughly 111.97 (Again, this does not distribute evenly)

4. To check your work, multiply 111.97 times 13 and you should get somewhere around 1455.66 which is (4367 divided by 3).

Hopefully this helps! Feel free to mark brainliest! :)

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IRINA_888 [86]
I think the answer is no
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3 years ago
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AleksAgata [21]

Answer:

angle 2 = 37º

Step-by-step explanation:

When two lines intersect they make vertical angles, which are angles directly across from another. Vertical angles are always congruent.

4 0
3 years ago
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