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Alex777 [14]
2 years ago
15

Ilmage: 1 apple. 3 oranges for each of 5 steps on the slider]

Mathematics
1 answer:
Nady [450]2 years ago
4 0

                                                                                             

                                .........................................................................................................

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Let f(x)=3x-6 and g(x)=x-2 find f(g(5))-ie. (f • g)(5) and its domain
Molodets [167]

Solution for f(g(5)):


The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:


Step 1: Plugging 5 to g(x)

g(5)=5-2=3


Step 2: Plugging the answer to f(x)

f(3)=3(3)-6=9-6=3


ANSWER: f(g(5)) is equal to 3.


Domain:


For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.


However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.


ANSWER: The domain of the function is all real numbers.

3 0
3 years ago
How can I show money as a fraction?
abruzzese [7]
You can show money as a fraction by taking the amount of cents, and putting it over 100.

Ex. $1.47 = 147 cents
147 cents = 147/100 in fraction form.
4 0
3 years ago
What is the domain of y = cos ^-1x?
Bas_tet [7]

Answer:

Step-by-step explanation:

Correct option is

D

[1,(1+π)  

2

]

f(x)=(1+sec  

−1

(x))(1+cos  

−1

(x))

Here the limiting component is cos  

−1

(x), since the domain of cos  

−1

(x) is [−1,1].

Therefore,

f(1)=(1+0)(1+0)

=1

f(−1)=(1+π)(1+π)

=(1+π)  

2

 

Hence range of f(x)=[1,(1+π)  

2

]

8 0
2 years ago
Clare had $48.00 on a gift card for a clothing store. She used it to buy a skirt that cost $27.00. How much is left on the gift
ladessa [460]

Answer: 21.00

Step-by-step explanation: 48-27 = 21

3 0
2 years ago
Find the answer to zero point 73 repeating times square root of 147 end square root and select the correct answer below. Also, i
liubo4ka [24]

Answer:

\frac{511\,\,\sqrt{3} }{99}  which is an irrational number

Step-by-step explanation:

Recall that the repeating decimal 0.7373737373... can be written in fraction form as: \frac{73}{99}

Now, let's write the number 147 which is inside the square root in factor form to find if it has some perfect square factors:

147=7^2\,3

Then, 7 will be able to go outside the root when we compute the final product requested:

\frac{73}{99} \,*\,7\,\sqrt{3} =\frac{511\,\,\sqrt{3} }{99}

This is an irrational number due to the fact that it is the product of a rational number (quotient between 511 and 99) times the irrational number \sqrt{3}

5 0
3 years ago
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