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3 years ago

Given f(x)=cos c and g(x)=cot x, what are the domain and range of f(g(x))?

Mathematics

1 answer:

ololo11 [35]3 years ago

8 0

Answer:

Alternative C is the correct answer

Step-by-step explanation:

The first step is to determine the composite function;

$f[g(x)]$

$f[g(x)]=cos[cot(x)]$

We then employ a graphing utility to determine the range and the domain of the new function.

The range is the set of y-values for which the function is defined. In this case it is;

$[-1,1]$

On the other hand, the domain refers to the set of the x-values for which the function is real and defined. In this case; it is the set of real numbers x except x does not equal npi for all integers n.

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Simplify 27^2. please (thxx)

adoni [48]

Answer:

729

Step-by-step explanation:

Raise 27 to the power of 2.

729

4 0

3 years ago

Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.

7nadin3 [17]

Answer:

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

Step-by-step explanation:

Antiderivative F(x)

This is the integral of $F^{\prime}(x)$

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

$F(x) = \int (6 + 24x^3 + 18x^5) dx$

$F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K$

$F(x) = 6x + 6x^4 + 3x^6 + K$

F(1)=0

$F(X) = 0$ when $x = 1$ . We use this to find K.

$F(x) = 6x + 6x^4 + 3x^6 + K$

$0 = 6 + 6 + 3 + K$

$K = -15$

Thus

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

7 0

3 years ago

Find the measure of 41. s 839 41 41 = [?]

Mila [183]

<1=97°

steps:

<1+83=180 co interior angle

<1=180-83=97°

5 0

3 years ago

the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF.

kvasek [131]

Answer:

3.627 = d

Step-by-step explanation:

C = 11.4mm

d = ?

C = πd

11.4 = 22/7 × d

cross multiply

11.4 ×7 = 22d

79.8 = 22d

Divide both sides of the equation b 22

79.8/22 = 22d/22

3.627 = d

4 0

3 years ago

Parallelogram or not ?

Zielflug [23.3K]

Answer:

I think so

Step-by-step explanation:

here's here's the definition of a parallelogram

"a four-sided plane rectilinear figure with opposite sides parallel."

3 0

3 years ago