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True [87]
3 years ago
5

F(x) = 1 / 2 g(x) = x - 4 Can you evaluate (g o f) (0)? Explain why or why not.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
6 0

For this case we have the following functions:

f (x) = \frac {1} {2}\\g (x) = x-4

We must find (g_ {o} f) (x). For definition of composition of functions we have to:

(g_ {o} f) (x) = g (f (x))

So:

g (f (x)) = \frac {1} {2} -4 = \frac {1-8} {4} = \frac {-7} {4} = - \frac {7} {4}

Then, for any value of "x", the composite function has a value of- \frac {7} {4}.

Thus,(g_ {o} f) (0)cannot be evaluated, it will always be obtained - \frac {7} {4}.

ANswer:

For any value of "x", the composite function has a value of- \frac {7} {4}.

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Answer:

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3 years ago
The graph shows a proportional relationship between the cups of flour a baker uses and the number of cookies made.
algol13

Answer:

Step-by-step explanation:

(0,0)A baker doesn't use any cups of flour so he can't make any cookies

(1,18)A baker uses 1 cup of flour and makes 18 cookies

8 0
3 years ago
Read 2 more answers
The mean weight 20 students in a room is 65 kg one student one student who weight is 88kg went into the room what is the new mea
umka2103 [35]

The new mean is 66.09

<u>Explanation:</u>

Mean weight of 20 students = 65kg

One student with 88kg entered the room.

New mean = ?

\frac{x_1+x_2+....+x_2_0}{20} = 65

\frac{x_1+x_2+....+x_2_0 + 88}{21} = ?

The above equation can further be written as:

x_1 + x_2 +....+x_2_0 = 65 X 20\\\\x_1 + x_2 +....+x_2_0 = 1300

New mean = \frac{1300 + 88}{21}

                 = 66.09

Therefore, the new mean is 66.09

6 0
3 years ago
Find the greatest common factor.<br> 6z^3 , 8z
harina [27]

Answer:

The answer is below.

Step-by-step explanation:

The GCF is 2z because it is the biggest number that can be factored out of both numbers. Also, since the 8z has no exponent, the GCF of 2z doesn't need one either.

If this answer is correct, please make me Brainliest!

4 0
4 years ago
A trapezoid has an area of 30m^2. if all of its side lengths are tripled, what will its new area be​
Norma-Jean [14]

Answer:

270

Step-by-step explanation:

Because we do not know what the side lengths are, as long as they multiply to 30m^2, it's fine

For this question, let's just say the base is 5, and the height is 6. If we triple 5, we get 15, and if we triple 6, we get 18. 15*18=270

Now what if, the sides are not 5 and 6. Will the area still be the same? Let's find out.

10*3=30 so we can say for this answer, the base is 3, and the height is 10.

10 tripled is 30, and 3 tripled is 9. 30*9=270

So as we look at these 2 answers. we can conclude that the new area, no matter the side lengths, will be 270

Hope this helpes!

5 0
4 years ago
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