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musickatia [10]
3 years ago
13

Find (f•g)(1) f(x) = x^2-1 g(x) = sqrt. X

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Answer:

The correct option is;

a. 0

Step-by-step explanation:

The given parameters are;

f(x) = x² - 1

g(x)  = √x

When carrying out operations in composite functions, we proceed as follows

(f \circ g)(x) = f(g(x)) = f(\sqrt{x} ) = (\sqrt{x} )^2 -1 1 = x  - 1

Therefore, we have;

(f \circ g)(1) = f(g(1)) = f(\sqrt{1} ) = (\sqrt{1} )^2 -1 1 = 1  - 1 = 0

Therefore;

(f \circ g)(1) = 0

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The graph represents the relationship between the number of employees scheduled per estimated customer at a restaurant.
UkoKoshka [18]

Answer:

The first one is 8

The second one is 4

And the third one is 4

Step-by-step explanation:

7 0
2 years ago
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Lady bird [3.3K]

Answer:

326.56

Step-by-step explanation:

2x(3.14)x4^2 = 100.48

11.48+(2x(3.14)x4x9) = 326.56

7 0
3 years ago
4х + Зу = 3<br> 4x - 2y = 18<br> How to solve this?
Brilliant_brown [7]

Using elimination, you can do

4x+3y-(4x-2y)=3-(18)

5y=-15

y=-3

Substitute it back into original equation:

4x+6=18

4x=12

x=3

<h2>So, the answer is <u><em>x=3, y=-3</em></u></h2>

5 0
3 years ago
A red kangaroo hops at an average speed of 20km per hour. How fast is this in meters per minute?
masya89 [10]

Answer:

333.3 meters per minute

Step-by-step explanation:

<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>

\frac{20km}{1hr}

<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} ...

<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}

<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

8 0
3 years ago
Josh sees that the ratio of boys to girls is 1/2, so he says that half of the students are boys?
miss Akunina [59]

Answer:

no.

Step-by-step explanation:

The ratio is 1/2. That means that if there is one boy, there are 2 girls. Altogether, there are 3 people.

<em>The answer is no. Boys would be one-third and girls are two-thirds.</em>

If this helped, please mark me as brainliest. Thank you! ;)

7 0
3 years ago
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