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boyakko [2]
3 years ago
13

Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. Find g(f(x)). Show each step of your work. Help please

Mathematics
2 answers:
velikii [3]3 years ago
8 0

Answer: The answer is 16x^4+8x^3+9x^2+2x-1.

Step-by-step explanation: The given functions f(x) and g(x) are defined as follows:

f(x)=4x^2+x+1,\\\\g(x)=x^2-2.

We are given to evaluate g(f(x)).

The steps are as follws:

g(f(x))\\\\=g(4x^2+x+1)\\\\=(4x^2+x+1)^2-2\\\\=16x^4+x^2+1+8x^3+2x+8x^2-2\\\\=16x^4+8x^3+9x^2+2x-1.

Thus, the answer is 16x^4+8x^3+9x^2+2x-1.

STatiana [176]3 years ago
6 0
For the answer to the question above, 
<span>g(f(x)) = (4x^2 + x + 1)^2 - 2 </span>

<span>g(f(x)) = (16x^4 + 4x^3 + 4x^2 + 4x^3 + x^2 + x + 4x^2 + x + 1) - 2 </span>

<span>g(f(x)) = 16x^2 + 8x^3 + 9x^2 + 2x + 1 - 2 </span>

<span>g(f(x)) = 16x^2 + 8x^3 + 9x^2 + 2x - 1
I hope my answer helped you. Feel free to ask more questions. Have a nice day!</span>
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$199.95 x 25% = $199.95 x .25 = $49.9875 ~ $49.99
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Lenny would have paid an additional amount of $29.92 ($179.88 - 149.96) after making the final payment.

I hope this helps since you did not mention what you were calculating, so I include everything that can be done to this problem.
8 0
3 years ago
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Of the Students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of th
soldier1979 [14.2K]

Answer:

\frac{9}{20} students.

Step-by-step explanation:

We have been given that of the students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of the students are also involved in the drama club.

To find the students are both play a sport and a part of the drama club, we need to find 3/5 part of 6/8 as:

\text{Students who play a sport and a part of the drama club}=\frac{6}{8}\times \frac{3}{5}

\text{Students who play a sport and a part of the drama club}=\frac{3}{4}\times \frac{3}{5}

\text{Students who play a sport and a part of the drama club}=\frac{3\times 3}{4\times 5}

\text{Students who play a sport and a part of the drama club}=\frac{9}{20}

Therefore, \frac{9}{20} students play sport and part of the drama club.

5 0
3 years ago
How do I solve this system of equations? Help ASAP!<br><br> -4x+9Y=9<br> X-3Y=-6
const2013 [10]
-4x + 9y = 9...............(1)
x - 3y = -6   Multiply through by 3:-
3x - 9y = -18..............(2)

adding equations (1) and (3):-

-x = -9

x = 9

Substitute for x in equation (1)
-4(9) + 9y = 9
-36 + 9y = 9
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Answer is x = 9 and y = 5
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Hope it helps you...

8 0
3 years ago
What is the answer for 9 - 2x = -1?
tatuchka [14]

Step-by-step explanation:

9-2x=-1

-2x=-10

x=5

the answer is 5 because if you divide a negative number with negative number it will turn to positive

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