All categories

2 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]2 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.

You might be interested in

Gilda drove 650miles at an average speed of 50 miles per hour.how many miles per hour faster would she have had to drive in orde

zzz [600]

T=650mi(hr/50mi)=13 hr

t-1=12 hr

12=650/(50+v) multiply both sides by 50+v

600+12v=650 subtract 600 from both sides

12v=50 divide both sides by 12

v=25/6 mph

v≈4.17mph

6 0

2 years ago

M Explain why this is true<br> PLEASE HELP!!!

borishaifa [10]

Answer:

The given statement is true because the person they did their steps correctly

a) Locate a point C so that ABC is a right triangle with m ACB ∠ = ° 90 and the measure of one of the acute angles in the triangle is 45° .

b) Locate a point D so that ABD is a right triangle with m ADB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is30° .

c) Locate a point E so that ABE is a right triangle with m AEB ∠ = ° 90 and

the measure of one of the acute angles in the triangle is15° .

d) Find the distance between point C and the midpoint of segment AB .

Repeat with points D and E.

e) Suppose F is a point on the graph so that ABF is a right triangle

withm AFB ∠ =° 90 . Make a conjecture about the point F.

3 0

2 years ago

Ten points plus brainlist whats<br> -3 divide (-2/5)

Taya2010 [7]

Answer: 7.5

Step-by-step explanation: -2/5= -0.4 so -3/-0.4=7.5

5 0

3 years ago

If <5 is 63 degrees find the measure of <3.

Hatshy [7]

<5 = <1 = <4 = <8 = 63

Straight line = 180

180 - 63 = 117

<3 = 117

6 0

3 years ago

What is the value of 8+ h² when h = 3?

MrMuchimi

Answer:

Step-by-step explanation:

8 + h^2

Let h = 3

8 + 3^2

We find the value of 3^2 first using PEMDAS

8 + 9

Then add

The result is 17

4 0

1 year ago

Read 2 more answers