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kherson [118]
3 years ago
9

For f(x) = 4x+1 and g(x) =x^2-5 find (f times g) (4) apex

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

(f o g)(4) =  45

Step-by-step explanation:

<u>Step 1:-</u>

Given f(x) = 4 x+1 and g(x) =x^2-5

(f o g )(x) = f(g(x))

Given

(f 0 g)(4)=f(g(4))

f(g(4))=f(4^{2}-5)=f(11)

f(11)=4(11)+1 = 45

Therefore (f o g)(4) =  45

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Cos^2x-sin^2x=sqrt 3/2
nalin [4]
\cos^2x-\sin^2x=\cos2x=\dfrac{\sqrt3}2

In the interval [0,2\pi), \cos x takes on the value of \dfrac{\sqrt3}2 when x=\pm\dfrac\pi3. In general, this happens for x=\pm\dfrac\pi3+2n\pi where n is any integer.

So, the solutions to this equation satisfy

2x=\pm\dfrac\pi3+2n\pi

or, dividing by 2,

x=\pm\dfrac\pi6+n\pi

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7 0
3 years ago
Evaluate the function below for x=2 f(x)=x^4+6x^3+3
Alex777 [14]

Answer:

f(2)=67

Step-by-step explanation:

In order to evaluate the function you must switch all of the x for 2

so it would be f(2)=2^4+6(2)^3+3

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3 years ago
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3 years ago
To control an​ infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At th
andrezito [222]

Answer:

To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?

Step-by-step explanation:

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8 0
3 years ago
NEED HELP ASAP A survey was conducted with high school students in
Mekhanik [1.2K]

Question:

a. Twenty-three ninth graders and fifteen eleventh graders prefer math.

b. Fourteen eleventh graders prefer math and eight tenth graders prefer English.

c. Thirty-five twelfth graders prefer math and nine tenth graders prefer English.

d. Twenty-three ninth graders and thirty-five twelfth graders prefer math.

e. Eighteen tenth graders prefer English and fourteen eleventh graders prefer math.

Answer:

Therefore, the correct options are;

b. and d.

Step-by-step explanation:

Here we have a table with blank boxes and totals from which we can fill the boxes;

For the 12th graders, we have a total of 67 pupils with 32 preferring English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils

Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils

Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils

Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils

From the above, the correct option is

7 0
3 years ago
Read 2 more answers
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