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3 years ago

PLEASE HELP I'M TIMED

Mathematics

2 answers:

Natalija [7]3 years ago

6 0

Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

Step-by-step explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

lilavasa [31]3 years ago

4 0

Answer:

It is not D!!!! it is not all real numbers for both! I got it wrong!

Step-by-step explanation:

edge 2021

i had answered saying it was D but then I got it wrong, so I can't just delete my answer. But I can say it is absolutely not D.

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HELP URGENT STEP FUNCTIONS!!!!!!! Used books cost $2.25 each. Which expression represents the total number of books that can be

irinina [24]

Answer:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor$

Step-by-step explanation:

We are given,

The cost of one book = $2.25

Since, it takes $2.25 to buy 1 book.

The, for $10, we can get $\frac{1}{2.25}\times 10$ i.e. $\frac{10}{2.25}$ = 4.44

Since, number of books cannot be in decimals.

So, the closest integer to 4.44 is 4.

Hence, we can buy 4 books from $10.

Now, according to the options:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor = \left \lfloor 4.44\right \rfloor = 4$

B. $\left \lceil \frac{10}{2.25} \right \rceil = \left \lceil 4.44 \right \rceil=5$

C. $\frac{10}{\left \lceil 2.25\right \rceil} =\frac{10}{3} =0.33$

D. $\frac{10}{\left \lfloor 2.25\right \rfloor} = \frac{10}{2} = 5$

Hence, we see that from the options, A is correct.

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Is there any tricks to memorize the special right triangle's sides?

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Sohcahtoa
My algebra teacher got us all to remember that word because...
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Cah - Cos = Adjacent / Hypotenus
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