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ankoles [38]
2 years ago
11

What is the domain of y = cos ^-1x?

Mathematics
1 answer:
Bas_tet [7]2 years ago
8 0

Answer:

Step-by-step explanation:

Correct option is

D

[1,(1+π)  

2

]

f(x)=(1+sec  

−1

(x))(1+cos  

−1

(x))

Here the limiting component is cos  

−1

(x), since the domain of cos  

−1

(x) is [−1,1].

Therefore,

f(1)=(1+0)(1+0)

=1

f(−1)=(1+π)(1+π)

=(1+π)  

2

 

Hence range of f(x)=[1,(1+π)  

2

]

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Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
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Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

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y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

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