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ziro4ka [17]
2 years ago
12

Select the correct answer. Consider these functions: f(x)=x+1 g(x)=2/x.Which polynomial is equivalent to (f ◦ g)(x)?

Mathematics
1 answer:
pogonyaev2 years ago
8 0

The polynomial which is equivalent to fog(x) is 2/x + 1.

<h3>What is Polynomial?</h3>

A polynomial is a type of expression. An expression is a mathematical statement without an equal-to sign (=).

Here,

given functions are;

f(x) = x + 1   ;     g(x) =  2/x

Now, we need to compose fog(x) from the given function;

fog(x)  =   f ( g(x) )

          =  f( 2/x)

          = 2/x + 1

Thus, the polynomial which is equivalent to fog(x) is 2/x + 1.

Learn more about Polynomial from:

brainly.com/question/11536910

#SPJ1

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A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round answers to nearest tent
AlexFokin [52]

Answer:

39.275

Step-by-step explanation:

the diameter of the semicircle is 10

A semicircle is half a circle, and a quarter circle is 1/4 of a circle.

Perimeter of a semicircle is ¶d/2

= 3.142 x 10/2 = 3.142 x 5 = 15.71

For 2 semicircles that will be 15.71 x 2 = 31.42

For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855

Total perimeter = 31.42 + 7.855 = 39.275

5 0
4 years ago
Please please help me out
mihalych1998 [28]

Answer:

A trinomial of degree 5

Step-by-step explanation:

A monomial has only 1 term

A binomial has 2 terms

A trinomial has 3 terms

4x^{5} + 3x³ - 7x ← has 3 terms and is therefore a trinomial

The degree of a polynomial is determined by the largest exponent of the variable in the expression

4x^{5} is the term with the largest exponent in the expression

Hence a polynomial of degree 5

6 0
3 years ago
Rachel mows 5 lawns in 8 hours. At this rate, how many lawns can she mow in<br> 40 hours?
expeople1 [14]

Answer: 25

Step-by-step explanation: 8*5=40, so multiply 5 by 5. Or, to put it another way:

5/8 = 25/40

8 0
4 years ago
The average number of employees that call in sick for the day over the course of a year is 25.
Georgia [21]

Answer:

24

Step-by-step explanation:

add all the numbers up and then divide that number by the amount of numbers there are

3 0
3 years ago
How do you simplify this expression step by step?
nataly862011 [7]

\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{csc(\theta )-sin(\theta )}{cos(\theta )}\implies \cfrac{~~\frac{1}{sin(\theta )}-sin(\theta )~~}{cos(\theta )}\implies \cfrac{~~\frac{1-sin^2(\theta )}{sin(\theta )}~~}{cos(\theta )}

\bf \cfrac{1-sin^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{cos(\theta )}\implies \cfrac{\stackrel{cos(\theta )}{\begin{matrix} cos^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}} }{sin(\theta )}\cdot \cfrac{1}{\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \cfrac{cos(\theta )}{sin(\theta )}\implies cot(\theta )

5 0
4 years ago
Read 2 more answers
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