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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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Please help me ASAP, thanks!

jenyasd209 [6]

The answer is option c
I hope this helps!

6 0

3 years ago

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

Bad White [126]

Answer:

Step-by-step explanation:

Use the distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

insert the numbers into the formula $d=\sqrt{(2+1)^2+(0-4)^2}$

2+1=3 and 0-4=-4

$3^2$ =9 and $-4^{2}$ = 1

9+16=25

the square root of 25 is 5

6 0

4 years ago

Read 2 more answers

Mason Painting Services has a weekly payroll of $28,000. December 31 falls on Wednesday and Mason will pay its employees the fol

Inga [223]

28000 / 5 days = $5,600 per day

Wednesday, Thursday, Friday = 3 days.

5,600 x 3 days = $16,800

The amount should be $16,800

7 0

3 years ago

Working simultaneously, four fudge machines complete a big order in 32 hours. All

garik1379 [7]

Answer:

8 Hours

Step-by-step explanation:

32÷4=8

It takes 4 machines to do something in 32 hours. If you had 4 times more machines it would be 4 times faster.

I hope this helps!

6 0

3 years ago

A ball is thrown into the air with an upward velocity of 36 ft/s. It’s height h in feet after t seconds is given by the function

777dan777 [17]

Answer:

Time taken for the ball to hit the ground back = 3.08 s

Step-by-step explanation:

h(t)= -16t² + 48t + 4

when will rhe object come back to hit rhe ground?

When the ball is at the level.of the ground, h(t) = 0.

0 = -16t² + 48t + 4

-16t² + 48t + 4 = 0

Solving the quadratic equation

t = 3.08 s or t = -0.08 s

Since the time cannot be negative,

Time taken for the ball to hit the ground back = 3.08 s

Hope this Helps!!!

Step-by-step explanation:

8 0

3 years ago